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Finding the Fourth Proportional to 4,614.60, 6,400.80 and 4,448.58

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Solution

The fourth proportional to 4,614.60, 6,400.80 and 4,448.58 is: 6,170.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.60 : 6,400.80 = 4,448.58 : x
  2. Step 2: Convert to fraction form
    4,614.60/6,400.80 = 4,448.58/x
  3. Step 3: Cross multiply
    4,614.60x = 6,400.80 × 4,448.58
  4. Step 4: Simplify right side
    4,614.60x = 28,474,470.86
  5. Step 5: Solve for x
    x = 28,474,470.86/4,614.60
  6. Step 6: Final answer
    x = 6,170.52

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.