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Finding the Fourth Proportional to 4,785.36, 7,178.04 and 1,498.47

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Solution

The fourth proportional to 4,785.36, 7,178.04 and 1,498.47 is: 2,247.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,785.36 : 7,178.04 = 1,498.47 : x
  2. Step 2: Convert to fraction form
    4,785.36/7,178.04 = 1,498.47/x
  3. Step 3: Cross multiply
    4,785.36x = 7,178.04 × 1,498.47
  4. Step 4: Simplify right side
    4,785.36x = 10,756,077.60
  5. Step 5: Solve for x
    x = 10,756,077.60/4,785.36
  6. Step 6: Final answer
    x = 2,247.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.