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Finding the Fourth Proportional to 5,306.46, 7,959.15 and 1,411.26

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Solution

The fourth proportional to 5,306.46, 7,959.15 and 1,411.26 is: 2,116.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.46 : 7,959.15 = 1,411.26 : x
  2. Step 2: Convert to fraction form
    5,306.46/7,959.15 = 1,411.26/x
  3. Step 3: Cross multiply
    5,306.46x = 7,959.15 × 1,411.26
  4. Step 4: Simplify right side
    5,306.46x = 11,232,430.03
  5. Step 5: Solve for x
    x = 11,232,430.03/5,306.46
  6. Step 6: Final answer
    x = 2,116.75

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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.