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Finding the Fourth Proportional to 4,712.71, 6,503.52 and 2,616.84

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Solution

The fourth proportional to 4,712.71, 6,503.52 and 2,616.84 is: 3,611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.71 : 6,503.52 = 2,616.84 : x
  2. Step 2: Convert to fraction form
    4,712.71/6,503.52 = 2,616.84/x
  3. Step 3: Cross multiply
    4,712.71x = 6,503.52 × 2,616.84
  4. Step 4: Simplify right side
    4,712.71x = 17,018,671.28
  5. Step 5: Solve for x
    x = 17,018,671.28/4,712.71
  6. Step 6: Final answer
    x = 3,611.23

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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.