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Finding the Fourth Proportional to 4,653.40, 6,965.70 and 2,699.80

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Solution

The fourth proportional to 4,653.40, 6,965.70 and 2,699.80 is: 4,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,653.40 : 6,965.70 = 2,699.80 : x
  2. Step 2: Convert to fraction form
    4,653.40/6,965.70 = 2,699.80/x
  3. Step 3: Cross multiply
    4,653.40x = 6,965.70 × 2,699.80
  4. Step 4: Simplify right side
    4,653.40x = 18,805,996.86
  5. Step 5: Solve for x
    x = 18,805,996.86/4,653.40
  6. Step 6: Final answer
    x = 4,041.35

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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.