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Finding the Fourth Proportional to 5,232.32, 7,843.08 and 2,312

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Solution

The fourth proportional to 5,232.32, 7,843.08 and 2,312 is: 3,465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,232.32 : 7,843.08 = 2,312 : x
  2. Step 2: Convert to fraction form
    5,232.32/7,843.08 = 2,312/x
  3. Step 3: Cross multiply
    5,232.32x = 7,843.08 × 2,312
  4. Step 4: Simplify right side
    5,232.32x = 18,133,200.96
  5. Step 5: Solve for x
    x = 18,133,200.96/5,232.32
  6. Step 6: Final answer
    x = 3,465.61

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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.