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Finding the Fourth Proportional to 4,789.71, 7,184.57 and 1,503.06

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Solution

The fourth proportional to 4,789.71, 7,184.57 and 1,503.06 is: 2,254.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,789.71 : 7,184.57 = 1,503.06 : x
  2. Step 2: Convert to fraction form
    4,789.71/7,184.57 = 1,503.06/x
  3. Step 3: Cross multiply
    4,789.71x = 7,184.57 × 1,503.06
  4. Step 4: Simplify right side
    4,789.71x = 10,798,839.78
  5. Step 5: Solve for x
    x = 10,798,839.78/4,789.71
  6. Step 6: Final answer
    x = 2,254.59

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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.