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Finding the Fourth Proportional to 5,458.59, 7,535.43 and 3,693.06

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Solution

The fourth proportional to 5,458.59, 7,535.43 and 3,693.06 is: 5,098.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.59 : 7,535.43 = 3,693.06 : x
  2. Step 2: Convert to fraction form
    5,458.59/7,535.43 = 3,693.06/x
  3. Step 3: Cross multiply
    5,458.59x = 7,535.43 × 3,693.06
  4. Step 4: Simplify right side
    5,458.59x = 27,828,795.12
  5. Step 5: Solve for x
    x = 27,828,795.12/5,458.59
  6. Step 6: Final answer
    x = 5,098.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.