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Finding the Fourth Proportional to 5,729.70, 8,594.55 and 4,865.70

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Solution

The fourth proportional to 5,729.70, 8,594.55 and 4,865.70 is: 7,298.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.70 : 8,594.55 = 4,865.70 : x
  2. Step 2: Convert to fraction form
    5,729.70/8,594.55 = 4,865.70/x
  3. Step 3: Cross multiply
    5,729.70x = 8,594.55 × 4,865.70
  4. Step 4: Simplify right side
    5,729.70x = 41,818,501.94
  5. Step 5: Solve for x
    x = 41,818,501.94/5,729.70
  6. Step 6: Final answer
    x = 7,298.55

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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.