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Finding the Fourth Proportional to 5,230.20, 7,829.10 and 3,032.40

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Solution

The fourth proportional to 5,230.20, 7,829.10 and 3,032.40 is: 4,539.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.20 : 7,829.10 = 3,032.40 : x
  2. Step 2: Convert to fraction form
    5,230.20/7,829.10 = 3,032.40/x
  3. Step 3: Cross multiply
    5,230.20x = 7,829.10 × 3,032.40
  4. Step 4: Simplify right side
    5,230.20x = 23,740,962.84
  5. Step 5: Solve for x
    x = 23,740,962.84/5,230.20
  6. Step 6: Final answer
    x = 4,539.21

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1.5x scale

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.