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Finding the Fourth Proportional to 4,631.78, 6,972.48 and 4,155.50

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Solution

The fourth proportional to 4,631.78, 6,972.48 and 4,155.50 is: 6,255.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,631.78 : 6,972.48 = 4,155.50 : x
  2. Step 2: Convert to fraction form
    4,631.78/6,972.48 = 4,155.50/x
  3. Step 3: Cross multiply
    4,631.78x = 6,972.48 × 4,155.50
  4. Step 4: Simplify right side
    4,631.78x = 28,974,140.64
  5. Step 5: Solve for x
    x = 28,974,140.64/4,631.78
  6. Step 6: Final answer
    x = 6,255.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.