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Finding the Fourth Proportional to 5,783.04, 8,674.50 and 1,400.49

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Solution

The fourth proportional to 5,783.04, 8,674.50 and 1,400.49 is: 2,100.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.04 : 8,674.50 = 1,400.49 : x
  2. Step 2: Convert to fraction form
    5,783.04/8,674.50 = 1,400.49/x
  3. Step 3: Cross multiply
    5,783.04x = 8,674.50 × 1,400.49
  4. Step 4: Simplify right side
    5,783.04x = 12,148,550.51
  5. Step 5: Solve for x
    x = 12,148,550.51/5,783.04
  6. Step 6: Final answer
    x = 2,100.72

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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.