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Finding the Fourth Proportional to 3,547.24, 5,320.84 and 950.11

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Solution

The fourth proportional to 3,547.24, 5,320.84 and 950.11 is: 1,425.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.24 : 5,320.84 = 950.11 : x
  2. Step 2: Convert to fraction form
    3,547.24/5,320.84 = 950.11/x
  3. Step 3: Cross multiply
    3,547.24x = 5,320.84 × 950.11
  4. Step 4: Simplify right side
    3,547.24x = 5,055,383.29
  5. Step 5: Solve for x
    x = 5,055,383.29/3,547.24
  6. Step 6: Final answer
    x = 1,425.16

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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.