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Finding the Fourth Proportional to 4,785.53, 7,178.29 and 1,498.68

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Solution

The fourth proportional to 4,785.53, 7,178.29 and 1,498.68 is: 2,248.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.53 : 7,178.29 = 1,498.68 : x
  2. Step 2: Convert to fraction form
    4,785.53/7,178.29 = 1,498.68/x
  3. Step 3: Cross multiply
    4,785.53x = 7,178.29 × 1,498.68
  4. Step 4: Simplify right side
    4,785.53x = 10,757,955.91
  5. Step 5: Solve for x
    x = 10,757,955.91/4,785.53
  6. Step 6: Final answer
    x = 2,248.02

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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.