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Finding the Fourth Proportional to 3,685.80, 5,528.86 and 1,713.28

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Solution

The fourth proportional to 3,685.80, 5,528.86 and 1,713.28 is: 2,569.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.80 : 5,528.86 = 1,713.28 : x
  2. Step 2: Convert to fraction form
    3,685.80/5,528.86 = 1,713.28/x
  3. Step 3: Cross multiply
    3,685.80x = 5,528.86 × 1,713.28
  4. Step 4: Simplify right side
    3,685.80x = 9,472,485.26
  5. Step 5: Solve for x
    x = 9,472,485.26/3,685.80
  6. Step 6: Final answer
    x = 2,569.99

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