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Finding the Fourth Proportional to 5,192.30, 7,155.07 and 3,697.58

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Solution

The fourth proportional to 5,192.30, 7,155.07 and 3,697.58 is: 5,095.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,192.30 : 7,155.07 = 3,697.58 : x
  2. Step 2: Convert to fraction form
    5,192.30/7,155.07 = 3,697.58/x
  3. Step 3: Cross multiply
    5,192.30x = 7,155.07 × 3,697.58
  4. Step 4: Simplify right side
    5,192.30x = 26,456,398.71
  5. Step 5: Solve for x
    x = 26,456,398.71/5,192.30
  6. Step 6: Final answer
    x = 5,095.32

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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.