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Finding the Fourth Proportional to 3,829,641.94, 5,744,988.15 and 1,699,678.90

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Solution

The fourth proportional to 3,829,641.94, 5,744,988.15 and 1,699,678.90 is: 2,549,751.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829,641.94 : 5,744,988.15 = 1,699,678.90 : x
  2. Step 2: Convert to fraction form
    3,829,641.94/5,744,988.15 = 1,699,678.90/x
  3. Step 3: Cross multiply
    3,829,641.94x = 5,744,988.15 × 1,699,678.90
  4. Step 4: Simplify right side
    3,829,641.94x = 9,764,635,139,305.04
  5. Step 5: Solve for x
    x = 9,764,635,139,305.04/3,829,641.94
  6. Step 6: Final answer
    x = 2,549,751.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.