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Finding the Fourth Proportional to 4,377.84, 6,572.49 and 2,602.16

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Solution

The fourth proportional to 4,377.84, 6,572.49 and 2,602.16 is: 3,906.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,377.84 : 6,572.49 = 2,602.16 : x
  2. Step 2: Convert to fraction form
    4,377.84/6,572.49 = 2,602.16/x
  3. Step 3: Cross multiply
    4,377.84x = 6,572.49 × 2,602.16
  4. Step 4: Simplify right side
    4,377.84x = 17,102,637.72
  5. Step 5: Solve for x
    x = 17,102,637.72/4,377.84
  6. Step 6: Final answer
    x = 3,906.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.