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Finding the Fourth Proportional to 3,497.51, 5,220.65 and 3,082.32

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Solution

The fourth proportional to 3,497.51, 5,220.65 and 3,082.32 is: 4,600.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.51 : 5,220.65 = 3,082.32 : x
  2. Step 2: Convert to fraction form
    3,497.51/5,220.65 = 3,082.32/x
  3. Step 3: Cross multiply
    3,497.51x = 5,220.65 × 3,082.32
  4. Step 4: Simplify right side
    3,497.51x = 16,091,721.61
  5. Step 5: Solve for x
    x = 16,091,721.61/3,497.51
  6. Step 6: Final answer
    x = 4,600.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.