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Finding the Fourth Proportional to 4,416.88, 6,616.65 and 2,564.11

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Solution

The fourth proportional to 4,416.88, 6,616.65 and 2,564.11 is: 3,841.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,416.88 : 6,616.65 = 2,564.11 : x
  2. Step 2: Convert to fraction form
    4,416.88/6,616.65 = 2,564.11/x
  3. Step 3: Cross multiply
    4,416.88x = 6,616.65 × 2,564.11
  4. Step 4: Simplify right side
    4,416.88x = 16,965,818.43
  5. Step 5: Solve for x
    x = 16,965,818.43/4,416.88
  6. Step 6: Final answer
    x = 3,841.13

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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.