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Finding the Fourth Proportional to 5,775.76, 8,657.29 and 2,264.70

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Solution

The fourth proportional to 5,775.76, 8,657.29 and 2,264.70 is: 3,394.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,775.76 : 8,657.29 = 2,264.70 : x
  2. Step 2: Convert to fraction form
    5,775.76/8,657.29 = 2,264.70/x
  3. Step 3: Cross multiply
    5,775.76x = 8,657.29 × 2,264.70
  4. Step 4: Simplify right side
    5,775.76x = 19,606,164.66
  5. Step 5: Solve for x
    x = 19,606,164.66/5,775.76
  6. Step 6: Final answer
    x = 3,394.56

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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.