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Finding the Fourth Proportional to 4,660.86, 6,432.06 and 2,565

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Solution

The fourth proportional to 4,660.86, 6,432.06 and 2,565 is: 3,539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.86 : 6,432.06 = 2,565 : x
  2. Step 2: Convert to fraction form
    4,660.86/6,432.06 = 2,565/x
  3. Step 3: Cross multiply
    4,660.86x = 6,432.06 × 2,565
  4. Step 4: Simplify right side
    4,660.86x = 16,498,233.90
  5. Step 5: Solve for x
    x = 16,498,233.90/4,660.86
  6. Step 6: Final answer
    x = 3,539.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.