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Finding the Fourth Proportional to 5,853.38, 8,774.16 and 5,386.28

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Solution

The fourth proportional to 5,853.38, 8,774.16 and 5,386.28 is: 8,073.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,853.38 : 8,774.16 = 5,386.28 : x
  2. Step 2: Convert to fraction form
    5,853.38/8,774.16 = 5,386.28/x
  3. Step 3: Cross multiply
    5,853.38x = 8,774.16 × 5,386.28
  4. Step 4: Simplify right side
    5,853.38x = 47,260,082.52
  5. Step 5: Solve for x
    x = 47,260,082.52/5,853.38
  6. Step 6: Final answer
    x = 8,073.98

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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.