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Finding the Fourth Proportional to 5,307.60, 7,964.52 and 3,825.24

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Solution

The fourth proportional to 5,307.60, 7,964.52 and 3,825.24 is: 5,740.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.60 : 7,964.52 = 3,825.24 : x
  2. Step 2: Convert to fraction form
    5,307.60/7,964.52 = 3,825.24/x
  3. Step 3: Cross multiply
    5,307.60x = 7,964.52 × 3,825.24
  4. Step 4: Simplify right side
    5,307.60x = 30,466,200.48
  5. Step 5: Solve for x
    x = 30,466,200.48/5,307.60
  6. Step 6: Final answer
    x = 5,740.11

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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.