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Finding the Fourth Proportional to 3,547.14, 5,320.24 and 950.28

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Solution

The fourth proportional to 3,547.14, 5,320.24 and 950.28 is: 1,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.14 : 5,320.24 = 950.28 : x
  2. Step 2: Convert to fraction form
    3,547.14/5,320.24 = 950.28/x
  3. Step 3: Cross multiply
    3,547.14x = 5,320.24 × 950.28
  4. Step 4: Simplify right side
    3,547.14x = 5,055,715.29
  5. Step 5: Solve for x
    x = 5,055,715.29/3,547.14
  6. Step 6: Final answer
    x = 1,425.29

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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.