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Finding the Fourth Proportional to 5,263.32, 7,895.12 and 4,032.96

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Solution

The fourth proportional to 5,263.32, 7,895.12 and 4,032.96 is: 6,049.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.32 : 7,895.12 = 4,032.96 : x
  2. Step 2: Convert to fraction form
    5,263.32/7,895.12 = 4,032.96/x
  3. Step 3: Cross multiply
    5,263.32x = 7,895.12 × 4,032.96
  4. Step 4: Simplify right side
    5,263.32x = 31,840,703.16
  5. Step 5: Solve for x
    x = 31,840,703.16/5,263.32
  6. Step 6: Final answer
    x = 6,049.55

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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.