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Finding the Fourth Proportional to 3,147.98, 4,717.50 and 2,319.74

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Solution

The fourth proportional to 3,147.98, 4,717.50 and 2,319.74 is: 3,476.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,147.98 : 4,717.50 = 2,319.74 : x
  2. Step 2: Convert to fraction form
    3,147.98/4,717.50 = 2,319.74/x
  3. Step 3: Cross multiply
    3,147.98x = 4,717.50 × 2,319.74
  4. Step 4: Simplify right side
    3,147.98x = 10,943,373.45
  5. Step 5: Solve for x
    x = 10,943,373.45/3,147.98
  6. Step 6: Final answer
    x = 3,476.32

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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.