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Finding the Fourth Proportional to 5,424.25, 7,484.88 and 3,065.98

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Solution

The fourth proportional to 5,424.25, 7,484.88 and 3,065.98 is: 4,230.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,424.25 : 7,484.88 = 3,065.98 : x
  2. Step 2: Convert to fraction form
    5,424.25/7,484.88 = 3,065.98/x
  3. Step 3: Cross multiply
    5,424.25x = 7,484.88 × 3,065.98
  4. Step 4: Simplify right side
    5,424.25x = 22,948,492.38
  5. Step 5: Solve for x
    x = 22,948,492.38/5,424.25
  6. Step 6: Final answer
    x = 4,230.72

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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.