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Finding the Fourth Proportional to 4,339.25, 6,510.27 and 1,565.90

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Solution

The fourth proportional to 4,339.25, 6,510.27 and 1,565.90 is: 2,349.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.25 : 6,510.27 = 1,565.90 : x
  2. Step 2: Convert to fraction form
    4,339.25/6,510.27 = 1,565.90/x
  3. Step 3: Cross multiply
    4,339.25x = 6,510.27 × 1,565.90
  4. Step 4: Simplify right side
    4,339.25x = 10,194,431.79
  5. Step 5: Solve for x
    x = 10,194,431.79/4,339.25
  6. Step 6: Final answer
    x = 2,349.35

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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.