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Finding the Fourth Proportional to 3,237.18, 4,856.49 and 928.50

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Solution

The fourth proportional to 3,237.18, 4,856.49 and 928.50 is: 1,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.18 : 4,856.49 = 928.50 : x
  2. Step 2: Convert to fraction form
    3,237.18/4,856.49 = 928.50/x
  3. Step 3: Cross multiply
    3,237.18x = 4,856.49 × 928.50
  4. Step 4: Simplify right side
    3,237.18x = 4,509,250.97
  5. Step 5: Solve for x
    x = 4,509,250.97/3,237.18
  6. Step 6: Final answer
    x = 1,392.96

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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.