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Finding the Fourth Proportional to 5,309.60, 7,963.34 and 5,046.15

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Solution

The fourth proportional to 5,309.60, 7,963.34 and 5,046.15 is: 7,568.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.60 : 7,963.34 = 5,046.15 : x
  2. Step 2: Convert to fraction form
    5,309.60/7,963.34 = 5,046.15/x
  3. Step 3: Cross multiply
    5,309.60x = 7,963.34 × 5,046.15
  4. Step 4: Simplify right side
    5,309.60x = 40,184,182.91
  5. Step 5: Solve for x
    x = 40,184,182.91/5,309.60
  6. Step 6: Final answer
    x = 7,568.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.