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Finding the Fourth Proportional to 5,730.76, 8,599.26 and 4,434.76

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Solution

The fourth proportional to 5,730.76, 8,599.26 and 4,434.76 is: 6,654.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.76 : 8,599.26 = 4,434.76 : x
  2. Step 2: Convert to fraction form
    5,730.76/8,599.26 = 4,434.76/x
  3. Step 3: Cross multiply
    5,730.76x = 8,599.26 × 4,434.76
  4. Step 4: Simplify right side
    5,730.76x = 38,135,654.28
  5. Step 5: Solve for x
    x = 38,135,654.28/5,730.76
  6. Step 6: Final answer
    x = 6,654.55

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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.