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Finding the Fourth Proportional to 4,854.80, 7,282.20 and 4,259.60

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Solution

The fourth proportional to 4,854.80, 7,282.20 and 4,259.60 is: 6,389.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.80 : 7,282.20 = 4,259.60 : x
  2. Step 2: Convert to fraction form
    4,854.80/7,282.20 = 4,259.60/x
  3. Step 3: Cross multiply
    4,854.80x = 7,282.20 × 4,259.60
  4. Step 4: Simplify right side
    4,854.80x = 31,019,259.12
  5. Step 5: Solve for x
    x = 31,019,259.12/4,854.80
  6. Step 6: Final answer
    x = 6,389.40

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Similar ratio
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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.