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Finding the Fourth Proportional to 5,828.72, 8,045.88 and 4,269.20

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Solution

The fourth proportional to 5,828.72, 8,045.88 and 4,269.20 is: 5,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.72 : 8,045.88 = 4,269.20 : x
  2. Step 2: Convert to fraction form
    5,828.72/8,045.88 = 4,269.20/x
  3. Step 3: Cross multiply
    5,828.72x = 8,045.88 × 4,269.20
  4. Step 4: Simplify right side
    5,828.72x = 34,349,470.90
  5. Step 5: Solve for x
    x = 34,349,470.90/5,828.72
  6. Step 6: Final answer
    x = 5,893.14

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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.