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Finding the Fourth Proportional to 4,854.96, 7,282.48 and 2,259.76

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Solution

The fourth proportional to 4,854.96, 7,282.48 and 2,259.76 is: 3,389.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,854.96 : 7,282.48 = 2,259.76 : x
  2. Step 2: Convert to fraction form
    4,854.96/7,282.48 = 2,259.76/x
  3. Step 3: Cross multiply
    4,854.96x = 7,282.48 × 2,259.76
  4. Step 4: Simplify right side
    4,854.96x = 16,456,657.00
  5. Step 5: Solve for x
    x = 16,456,657.00/4,854.96
  6. Step 6: Final answer
    x = 3,389.66

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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.