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Finding the Fourth Proportional to 6,038.48, 8,325.96 and 5,151.44

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Solution

The fourth proportional to 6,038.48, 8,325.96 and 5,151.44 is: 7,102.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.48 : 8,325.96 = 5,151.44 : x
  2. Step 2: Convert to fraction form
    6,038.48/8,325.96 = 5,151.44/x
  3. Step 3: Cross multiply
    6,038.48x = 8,325.96 × 5,151.44
  4. Step 4: Simplify right side
    6,038.48x = 42,890,683.38
  5. Step 5: Solve for x
    x = 42,890,683.38/6,038.48
  6. Step 6: Final answer
    x = 7,102.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.