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Finding the Fourth Proportional to 3,547.96, 5,323.76 and 2,687.56

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Solution

The fourth proportional to 3,547.96, 5,323.76 and 2,687.56 is: 4,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.96 : 5,323.76 = 2,687.56 : x
  2. Step 2: Convert to fraction form
    3,547.96/5,323.76 = 2,687.56/x
  3. Step 3: Cross multiply
    3,547.96x = 5,323.76 × 2,687.56
  4. Step 4: Simplify right side
    3,547.96x = 14,307,924.43
  5. Step 5: Solve for x
    x = 14,307,924.43/3,547.96
  6. Step 6: Final answer
    x = 4,032.72

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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.