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Finding the Fourth Proportional to 4,920.32, 7,348.06 and 4,376

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Solution

The fourth proportional to 4,920.32, 7,348.06 and 4,376 is: 6,535.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,920.32 : 7,348.06 = 4,376 : x
  2. Step 2: Convert to fraction form
    4,920.32/7,348.06 = 4,376/x
  3. Step 3: Cross multiply
    4,920.32x = 7,348.06 × 4,376
  4. Step 4: Simplify right side
    4,920.32x = 32,155,110.56
  5. Step 5: Solve for x
    x = 32,155,110.56/4,920.32
  6. Step 6: Final answer
    x = 6,535.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.