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Finding the Fourth Proportional to 4,873.24, 7,308.27 and 1,585.62

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Solution

The fourth proportional to 4,873.24, 7,308.27 and 1,585.62 is: 2,377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,873.24 : 7,308.27 = 1,585.62 : x
  2. Step 2: Convert to fraction form
    4,873.24/7,308.27 = 1,585.62/x
  3. Step 3: Cross multiply
    4,873.24x = 7,308.27 × 1,585.62
  4. Step 4: Simplify right side
    4,873.24x = 11,588,139.08
  5. Step 5: Solve for x
    x = 11,588,139.08/4,873.24
  6. Step 6: Final answer
    x = 2,377.91

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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.