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Finding the Fourth Proportional to 5,722.32, 8,602.62 and 4,566.84

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Solution

The fourth proportional to 5,722.32, 8,602.62 and 4,566.84 is: 6,865.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.32 : 8,602.62 = 4,566.84 : x
  2. Step 2: Convert to fraction form
    5,722.32/8,602.62 = 4,566.84/x
  3. Step 3: Cross multiply
    5,722.32x = 8,602.62 × 4,566.84
  4. Step 4: Simplify right side
    5,722.32x = 39,286,789.12
  5. Step 5: Solve for x
    x = 39,286,789.12/5,722.32
  6. Step 6: Final answer
    x = 6,865.54

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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.