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Finding the Fourth Proportional to 6,053.44, 9,019.28 and 5,656

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Solution

The fourth proportional to 6,053.44, 9,019.28 and 5,656 is: 8,427.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,053.44 : 9,019.28 = 5,656 : x
  2. Step 2: Convert to fraction form
    6,053.44/9,019.28 = 5,656/x
  3. Step 3: Cross multiply
    6,053.44x = 9,019.28 × 5,656
  4. Step 4: Simplify right side
    6,053.44x = 51,013,047.68
  5. Step 5: Solve for x
    x = 51,013,047.68/6,053.44
  6. Step 6: Final answer
    x = 8,427.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.