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Finding the Fourth Proportional to 5,901.32, 8,842.70 and 2,780.58

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Solution

The fourth proportional to 5,901.32, 8,842.70 and 2,780.58 is: 4,166.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.32 : 8,842.70 = 2,780.58 : x
  2. Step 2: Convert to fraction form
    5,901.32/8,842.70 = 2,780.58/x
  3. Step 3: Cross multiply
    5,901.32x = 8,842.70 × 2,780.58
  4. Step 4: Simplify right side
    5,901.32x = 24,587,834.77
  5. Step 5: Solve for x
    x = 24,587,834.77/5,901.32
  6. Step 6: Final answer
    x = 4,166.50

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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.