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Finding the Fourth Proportional to 4,948.86, 7,424.58 and 1,486.14

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Solution

The fourth proportional to 4,948.86, 7,424.58 and 1,486.14 is: 2,229.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.86 : 7,424.58 = 1,486.14 : x
  2. Step 2: Convert to fraction form
    4,948.86/7,424.58 = 1,486.14/x
  3. Step 3: Cross multiply
    4,948.86x = 7,424.58 × 1,486.14
  4. Step 4: Simplify right side
    4,948.86x = 11,033,965.32
  5. Step 5: Solve for x
    x = 11,033,965.32/4,948.86
  6. Step 6: Final answer
    x = 2,229.60

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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.