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Finding the Fourth Proportional to 5,758.48, 8,617.56 and 4,294

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Solution

The fourth proportional to 5,758.48, 8,617.56 and 4,294 is: 6,425.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.48 : 8,617.56 = 4,294 : x
  2. Step 2: Convert to fraction form
    5,758.48/8,617.56 = 4,294/x
  3. Step 3: Cross multiply
    5,758.48x = 8,617.56 × 4,294
  4. Step 4: Simplify right side
    5,758.48x = 37,003,802.64
  5. Step 5: Solve for x
    x = 37,003,802.64/5,758.48
  6. Step 6: Final answer
    x = 6,425.97

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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.