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Finding the Fourth Proportional to 5,465.61, 7,542 and 3,196.62

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Solution

The fourth proportional to 5,465.61, 7,542 and 3,196.62 is: 4,411.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465.61 : 7,542 = 3,196.62 : x
  2. Step 2: Convert to fraction form
    5,465.61/7,542 = 3,196.62/x
  3. Step 3: Cross multiply
    5,465.61x = 7,542 × 3,196.62
  4. Step 4: Simplify right side
    5,465.61x = 24,108,908.04
  5. Step 5: Solve for x
    x = 24,108,908.04/5,465.61
  6. Step 6: Final answer
    x = 4,411.02

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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.