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Finding the Fourth Proportional to 5,307.55, 7,962.86 and 2,534.31

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Solution

The fourth proportional to 5,307.55, 7,962.86 and 2,534.31 is: 3,802.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.55 : 7,962.86 = 2,534.31 : x
  2. Step 2: Convert to fraction form
    5,307.55/7,962.86 = 2,534.31/x
  3. Step 3: Cross multiply
    5,307.55x = 7,962.86 × 2,534.31
  4. Step 4: Simplify right side
    5,307.55x = 20,180,355.73
  5. Step 5: Solve for x
    x = 20,180,355.73/5,307.55
  6. Step 6: Final answer
    x = 3,802.20

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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.