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Finding the Fourth Proportional to 5,842.26, 8,765.95 and 3,068.29

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Solution

The fourth proportional to 5,842.26, 8,765.95 and 3,068.29 is: 4,603.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.26 : 8,765.95 = 3,068.29 : x
  2. Step 2: Convert to fraction form
    5,842.26/8,765.95 = 3,068.29/x
  3. Step 3: Cross multiply
    5,842.26x = 8,765.95 × 3,068.29
  4. Step 4: Simplify right side
    5,842.26x = 26,896,417.55
  5. Step 5: Solve for x
    x = 26,896,417.55/5,842.26
  6. Step 6: Final answer
    x = 4,603.77

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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.