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Finding the Fourth Proportional to 4,709.64, 6,499.50 and 2,613.78

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Solution

The fourth proportional to 4,709.64, 6,499.50 and 2,613.78 is: 3,607.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.64 : 6,499.50 = 2,613.78 : x
  2. Step 2: Convert to fraction form
    4,709.64/6,499.50 = 2,613.78/x
  3. Step 3: Cross multiply
    4,709.64x = 6,499.50 × 2,613.78
  4. Step 4: Simplify right side
    4,709.64x = 16,988,263.11
  5. Step 5: Solve for x
    x = 16,988,263.11/4,709.64
  6. Step 6: Final answer
    x = 3,607.13

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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.