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Finding the Fourth Proportional to 5,352.60, 8,032.50 and 2,431.20

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Solution

The fourth proportional to 5,352.60, 8,032.50 and 2,431.20 is: 3,648.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,352.60 : 8,032.50 = 2,431.20 : x
  2. Step 2: Convert to fraction form
    5,352.60/8,032.50 = 2,431.20/x
  3. Step 3: Cross multiply
    5,352.60x = 8,032.50 × 2,431.20
  4. Step 4: Simplify right side
    5,352.60x = 19,528,614
  5. Step 5: Solve for x
    x = 19,528,614/5,352.60
  6. Step 6: Final answer
    x = 3,648.44

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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.