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Finding the Fourth Proportional to 3,547.74, 5,315.24 and 2,959.14

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Solution

The fourth proportional to 3,547.74, 5,315.24 and 2,959.14 is: 4,433.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.74 : 5,315.24 = 2,959.14 : x
  2. Step 2: Convert to fraction form
    3,547.74/5,315.24 = 2,959.14/x
  3. Step 3: Cross multiply
    3,547.74x = 5,315.24 × 2,959.14
  4. Step 4: Simplify right side
    3,547.74x = 15,728,539.29
  5. Step 5: Solve for x
    x = 15,728,539.29/3,547.74
  6. Step 6: Final answer
    x = 4,433.40

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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.