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Finding the Fourth Proportional to 4,788.04, 7,178.40 and 4,299.61

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Solution

The fourth proportional to 4,788.04, 7,178.40 and 4,299.61 is: 6,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788.04 : 7,178.40 = 4,299.61 : x
  2. Step 2: Convert to fraction form
    4,788.04/7,178.40 = 4,299.61/x
  3. Step 3: Cross multiply
    4,788.04x = 7,178.40 × 4,299.61
  4. Step 4: Simplify right side
    4,788.04x = 30,864,320.42
  5. Step 5: Solve for x
    x = 30,864,320.42/4,788.04
  6. Step 6: Final answer
    x = 6,446.13

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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.