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Finding the Fourth Proportional to 5,237.20, 7,834.20 and 4,459.60

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Solution

The fourth proportional to 5,237.20, 7,834.20 and 4,459.60 is: 6,671.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.20 : 7,834.20 = 4,459.60 : x
  2. Step 2: Convert to fraction form
    5,237.20/7,834.20 = 4,459.60/x
  3. Step 3: Cross multiply
    5,237.20x = 7,834.20 × 4,459.60
  4. Step 4: Simplify right side
    5,237.20x = 34,937,398.32
  5. Step 5: Solve for x
    x = 34,937,398.32/5,237.20
  6. Step 6: Final answer
    x = 6,671.01

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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.