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Finding the Fourth Proportional to 4,709.66, 6,499.32 and 2,613.78

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Solution

The fourth proportional to 4,709.66, 6,499.32 and 2,613.78 is: 3,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.66 : 6,499.32 = 2,613.78 : x
  2. Step 2: Convert to fraction form
    4,709.66/6,499.32 = 2,613.78/x
  3. Step 3: Cross multiply
    4,709.66x = 6,499.32 × 2,613.78
  4. Step 4: Simplify right side
    4,709.66x = 16,987,792.63
  5. Step 5: Solve for x
    x = 16,987,792.63/4,709.66
  6. Step 6: Final answer
    x = 3,607.01

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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.