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Finding the Fourth Proportional to 3,613.24, 4,981.62 and 3,564.28

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Solution

The fourth proportional to 3,613.24, 4,981.62 and 3,564.28 is: 4,914.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613.24 : 4,981.62 = 3,564.28 : x
  2. Step 2: Convert to fraction form
    3,613.24/4,981.62 = 3,564.28/x
  3. Step 3: Cross multiply
    3,613.24x = 4,981.62 × 3,564.28
  4. Step 4: Simplify right side
    3,613.24x = 17,755,888.53
  5. Step 5: Solve for x
    x = 17,755,888.53/3,613.24
  6. Step 6: Final answer
    x = 4,914.12

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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.