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Finding the Fourth Proportional to 4,275.59, 6,401.59 and 2,191.16

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Solution

The fourth proportional to 4,275.59, 6,401.59 and 2,191.16 is: 3,280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,275.59 : 6,401.59 = 2,191.16 : x
  2. Step 2: Convert to fraction form
    4,275.59/6,401.59 = 2,191.16/x
  3. Step 3: Cross multiply
    4,275.59x = 6,401.59 × 2,191.16
  4. Step 4: Simplify right side
    4,275.59x = 14,026,864.98
  5. Step 5: Solve for x
    x = 14,026,864.98/4,275.59
  6. Step 6: Final answer
    x = 3,280.69

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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.