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Finding the Fourth Proportional to 4,767.76, 7,143.72 and 3,374.18

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Solution

The fourth proportional to 4,767.76, 7,143.72 and 3,374.18 is: 5,055.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.76 : 7,143.72 = 3,374.18 : x
  2. Step 2: Convert to fraction form
    4,767.76/7,143.72 = 3,374.18/x
  3. Step 3: Cross multiply
    4,767.76x = 7,143.72 × 3,374.18
  4. Step 4: Simplify right side
    4,767.76x = 24,104,197.15
  5. Step 5: Solve for x
    x = 24,104,197.15/4,767.76
  6. Step 6: Final answer
    x = 5,055.66

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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.