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Finding the Fourth Proportional to 3,547.06, 5,320.17 and 950.20

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Solution

The fourth proportional to 3,547.06, 5,320.17 and 950.20 is: 1,425.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.06 : 5,320.17 = 950.20 : x
  2. Step 2: Convert to fraction form
    3,547.06/5,320.17 = 950.20/x
  3. Step 3: Cross multiply
    3,547.06x = 5,320.17 × 950.20
  4. Step 4: Simplify right side
    3,547.06x = 5,055,212.23
  5. Step 5: Solve for x
    x = 5,055,212.23/3,547.06
  6. Step 6: Final answer
    x = 1,425.18

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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.