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Finding the Fourth Proportional to 4,777.74, 7,168.68 and 2,470.86

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Solution

The fourth proportional to 4,777.74, 7,168.68 and 2,470.86 is: 3,707.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.74 : 7,168.68 = 2,470.86 : x
  2. Step 2: Convert to fraction form
    4,777.74/7,168.68 = 2,470.86/x
  3. Step 3: Cross multiply
    4,777.74x = 7,168.68 × 2,470.86
  4. Step 4: Simplify right side
    4,777.74x = 17,712,804.66
  5. Step 5: Solve for x
    x = 17,712,804.66/4,777.74
  6. Step 6: Final answer
    x = 3,707.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.