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Finding the Fourth Proportional to 4,677.77, 6,451.10 and 3,613.93

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Solution

The fourth proportional to 4,677.77, 6,451.10 and 3,613.93 is: 4,983.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.77 : 6,451.10 = 3,613.93 : x
  2. Step 2: Convert to fraction form
    4,677.77/6,451.10 = 3,613.93/x
  3. Step 3: Cross multiply
    4,677.77x = 6,451.10 × 3,613.93
  4. Step 4: Simplify right side
    4,677.77x = 23,313,823.82
  5. Step 5: Solve for x
    x = 23,313,823.82/4,677.77
  6. Step 6: Final answer
    x = 4,983.96

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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.