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Finding the Fourth Proportional to 6,568.17, 9,064.05 and 3,584

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Solution

The fourth proportional to 6,568.17, 9,064.05 and 3,584 is: 4,945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.17 : 9,064.05 = 3,584 : x
  2. Step 2: Convert to fraction form
    6,568.17/9,064.05 = 3,584/x
  3. Step 3: Cross multiply
    6,568.17x = 9,064.05 × 3,584
  4. Step 4: Simplify right side
    6,568.17x = 32,485,555.20
  5. Step 5: Solve for x
    x = 32,485,555.20/6,568.17
  6. Step 6: Final answer
    x = 4,945.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.