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Finding the Fourth Proportional to 5,560, 8,329.02 and 4,174.96

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Solution

The fourth proportional to 5,560, 8,329.02 and 4,174.96 is: 6,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,560 : 8,329.02 = 4,174.96 : x
  2. Step 2: Convert to fraction form
    5,560/8,329.02 = 4,174.96/x
  3. Step 3: Cross multiply
    5,560x = 8,329.02 × 4,174.96
  4. Step 4: Simplify right side
    5,560x = 34,773,325.34
  5. Step 5: Solve for x
    x = 34,773,325.34/5,560
  6. Step 6: Final answer
    x = 6,254.20

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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.