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Finding the Fourth Proportional to 4,319.66, 6,480.54 and 1,397.96

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Solution

The fourth proportional to 4,319.66, 6,480.54 and 1,397.96 is: 2,097.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,319.66 : 6,480.54 = 1,397.96 : x
  2. Step 2: Convert to fraction form
    4,319.66/6,480.54 = 1,397.96/x
  3. Step 3: Cross multiply
    4,319.66x = 6,480.54 × 1,397.96
  4. Step 4: Simplify right side
    4,319.66x = 9,059,535.70
  5. Step 5: Solve for x
    x = 9,059,535.70/4,319.66
  6. Step 6: Final answer
    x = 2,097.28

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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.