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Finding the Fourth Proportional to 4,312.86, 6,470.01 and 1,391.46

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Solution

The fourth proportional to 4,312.86, 6,470.01 and 1,391.46 is: 2,087.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,312.86 : 6,470.01 = 1,391.46 : x
  2. Step 2: Convert to fraction form
    4,312.86/6,470.01 = 1,391.46/x
  3. Step 3: Cross multiply
    4,312.86x = 6,470.01 × 1,391.46
  4. Step 4: Simplify right side
    4,312.86x = 9,002,760.11
  5. Step 5: Solve for x
    x = 9,002,760.11/4,312.86
  6. Step 6: Final answer
    x = 2,087.42

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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.