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Finding the Fourth Proportional to 3,547.01, 5,320.52 and 949.88

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Solution

The fourth proportional to 3,547.01, 5,320.52 and 949.88 is: 1,424.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.01 : 5,320.52 = 949.88 : x
  2. Step 2: Convert to fraction form
    3,547.01/5,320.52 = 949.88/x
  3. Step 3: Cross multiply
    3,547.01x = 5,320.52 × 949.88
  4. Step 4: Simplify right side
    3,547.01x = 5,053,824.19
  5. Step 5: Solve for x
    x = 5,053,824.19/3,547.01
  6. Step 6: Final answer
    x = 1,424.81

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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.