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Finding the Fourth Proportional to 3,695.34, 5,542.04 and 1,097.68

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Solution

The fourth proportional to 3,695.34, 5,542.04 and 1,097.68 is: 1,646.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.34 : 5,542.04 = 1,097.68 : x
  2. Step 2: Convert to fraction form
    3,695.34/5,542.04 = 1,097.68/x
  3. Step 3: Cross multiply
    3,695.34x = 5,542.04 × 1,097.68
  4. Step 4: Simplify right side
    3,695.34x = 6,083,386.47
  5. Step 5: Solve for x
    x = 6,083,386.47/3,695.34
  6. Step 6: Final answer
    x = 1,646.23

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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.