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Finding the Fourth Proportional to 3,086.60, 4,629.90 and 1,547.24

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Solution

The fourth proportional to 3,086.60, 4,629.90 and 1,547.24 is: 2,320.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.60 : 4,629.90 = 1,547.24 : x
  2. Step 2: Convert to fraction form
    3,086.60/4,629.90 = 1,547.24/x
  3. Step 3: Cross multiply
    3,086.60x = 4,629.90 × 1,547.24
  4. Step 4: Simplify right side
    3,086.60x = 7,163,566.48
  5. Step 5: Solve for x
    x = 7,163,566.48/3,086.60
  6. Step 6: Final answer
    x = 2,320.86

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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.