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Finding the Fourth Proportional to 3,230.47, 4,848.14 and 2,367.01

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Solution

The fourth proportional to 3,230.47, 4,848.14 and 2,367.01 is: 3,552.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.47 : 4,848.14 = 2,367.01 : x
  2. Step 2: Convert to fraction form
    3,230.47/4,848.14 = 2,367.01/x
  3. Step 3: Cross multiply
    3,230.47x = 4,848.14 × 2,367.01
  4. Step 4: Simplify right side
    3,230.47x = 11,475,595.86
  5. Step 5: Solve for x
    x = 11,475,595.86/3,230.47
  6. Step 6: Final answer
    x = 3,552.30

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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.