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Finding the Fourth Proportional to 2,983.62, 4,475.50 and 2,547.88

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Solution

The fourth proportional to 2,983.62, 4,475.50 and 2,547.88 is: 3,821.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.62 : 4,475.50 = 2,547.88 : x
  2. Step 2: Convert to fraction form
    2,983.62/4,475.50 = 2,547.88/x
  3. Step 3: Cross multiply
    2,983.62x = 4,475.50 × 2,547.88
  4. Step 4: Simplify right side
    2,983.62x = 11,403,036.94
  5. Step 5: Solve for x
    x = 11,403,036.94/2,983.62
  6. Step 6: Final answer
    x = 3,821.88

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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.