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Finding the Fourth Proportional to 5,712.32, 8,566.32 and 3,113.84

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Solution

The fourth proportional to 5,712.32, 8,566.32 and 3,113.84 is: 4,669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.32 : 8,566.32 = 3,113.84 : x
  2. Step 2: Convert to fraction form
    5,712.32/8,566.32 = 3,113.84/x
  3. Step 3: Cross multiply
    5,712.32x = 8,566.32 × 3,113.84
  4. Step 4: Simplify right side
    5,712.32x = 26,674,149.87
  5. Step 5: Solve for x
    x = 26,674,149.87/5,712.32
  6. Step 6: Final answer
    x = 4,669.58

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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.