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Finding the Fourth Proportional to 5,586.24, 7,709.02 and 3,102.24

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Solution

The fourth proportional to 5,586.24, 7,709.02 and 3,102.24 is: 4,281.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.24 : 7,709.02 = 3,102.24 : x
  2. Step 2: Convert to fraction form
    5,586.24/7,709.02 = 3,102.24/x
  3. Step 3: Cross multiply
    5,586.24x = 7,709.02 × 3,102.24
  4. Step 4: Simplify right side
    5,586.24x = 23,915,230.20
  5. Step 5: Solve for x
    x = 23,915,230.20/5,586.24
  6. Step 6: Final answer
    x = 4,281.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.