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Finding the Fourth Proportional to 6,038.50, 9,052.08 and 5,497.42

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Solution

The fourth proportional to 6,038.50, 9,052.08 and 5,497.42 is: 8,240.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.50 : 9,052.08 = 5,497.42 : x
  2. Step 2: Convert to fraction form
    6,038.50/9,052.08 = 5,497.42/x
  3. Step 3: Cross multiply
    6,038.50x = 9,052.08 × 5,497.42
  4. Step 4: Simplify right side
    6,038.50x = 49,763,085.63
  5. Step 5: Solve for x
    x = 49,763,085.63/6,038.50
  6. Step 6: Final answer
    x = 8,240.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.