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Finding the Fourth Proportional to 4,678.77, 6,463.35 and 3,740.79

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Solution

The fourth proportional to 4,678.77, 6,463.35 and 3,740.79 is: 5,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.77 : 6,463.35 = 3,740.79 : x
  2. Step 2: Convert to fraction form
    4,678.77/6,463.35 = 3,740.79/x
  3. Step 3: Cross multiply
    4,678.77x = 6,463.35 × 3,740.79
  4. Step 4: Simplify right side
    4,678.77x = 24,178,035.05
  5. Step 5: Solve for x
    x = 24,178,035.05/4,678.77
  6. Step 6: Final answer
    x = 5,167.60

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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.