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Finding the Fourth Proportional to 6,588.16, 9,092.18 and 3,756.42

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Solution

The fourth proportional to 6,588.16, 9,092.18 and 3,756.42 is: 5,184.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.16 : 9,092.18 = 3,756.42 : x
  2. Step 2: Convert to fraction form
    6,588.16/9,092.18 = 3,756.42/x
  3. Step 3: Cross multiply
    6,588.16x = 9,092.18 × 3,756.42
  4. Step 4: Simplify right side
    6,588.16x = 34,154,046.80
  5. Step 5: Solve for x
    x = 34,154,046.80/6,588.16
  6. Step 6: Final answer
    x = 5,184.16

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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.