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Finding the Fourth Proportional to 5,758.18, 8,641.54 and 4,280.82

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Solution

The fourth proportional to 5,758.18, 8,641.54 and 4,280.82 is: 6,424.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,758.18 : 8,641.54 = 4,280.82 : x
  2. Step 2: Convert to fraction form
    5,758.18/8,641.54 = 4,280.82/x
  3. Step 3: Cross multiply
    5,758.18x = 8,641.54 × 4,280.82
  4. Step 4: Simplify right side
    5,758.18x = 36,992,877.26
  5. Step 5: Solve for x
    x = 36,992,877.26/5,758.18
  6. Step 6: Final answer
    x = 6,424.40

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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.