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Finding the Fourth Proportional to 4,833.60, 7,248.60 and 1,911.30

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Solution

The fourth proportional to 4,833.60, 7,248.60 and 1,911.30 is: 2,866.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,833.60 : 7,248.60 = 1,911.30 : x
  2. Step 2: Convert to fraction form
    4,833.60/7,248.60 = 1,911.30/x
  3. Step 3: Cross multiply
    4,833.60x = 7,248.60 × 1,911.30
  4. Step 4: Simplify right side
    4,833.60x = 13,854,249.18
  5. Step 5: Solve for x
    x = 13,854,249.18/4,833.60
  6. Step 6: Final answer
    x = 2,866.24

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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.