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Finding the Fourth Proportional to 4,712.72, 6,503.45 and 2,616.80

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Solution

The fourth proportional to 4,712.72, 6,503.45 and 2,616.80 is: 3,611.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.72 : 6,503.45 = 2,616.80 : x
  2. Step 2: Convert to fraction form
    4,712.72/6,503.45 = 2,616.80/x
  3. Step 3: Cross multiply
    4,712.72x = 6,503.45 × 2,616.80
  4. Step 4: Simplify right side
    4,712.72x = 17,018,182.36
  5. Step 5: Solve for x
    x = 17,018,182.36/4,712.72
  6. Step 6: Final answer
    x = 3,611.12

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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.