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Finding the Fourth Proportional to 5,235.66, 7,856.04 and 2,314.26

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Solution

The fourth proportional to 5,235.66, 7,856.04 and 2,314.26 is: 3,472.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.66 : 7,856.04 = 2,314.26 : x
  2. Step 2: Convert to fraction form
    5,235.66/7,856.04 = 2,314.26/x
  3. Step 3: Cross multiply
    5,235.66x = 7,856.04 × 2,314.26
  4. Step 4: Simplify right side
    5,235.66x = 18,180,919.13
  5. Step 5: Solve for x
    x = 18,180,919.13/5,235.66
  6. Step 6: Final answer
    x = 3,472.52

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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.