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Finding the Fourth Proportional to 5,392.31, 8,031.56 and 5,152.41

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Solution

The fourth proportional to 5,392.31, 8,031.56 and 5,152.41 is: 7,674.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392.31 : 8,031.56 = 5,152.41 : x
  2. Step 2: Convert to fraction form
    5,392.31/8,031.56 = 5,152.41/x
  3. Step 3: Cross multiply
    5,392.31x = 8,031.56 × 5,152.41
  4. Step 4: Simplify right side
    5,392.31x = 41,381,864.30
  5. Step 5: Solve for x
    x = 41,381,864.30/5,392.31
  6. Step 6: Final answer
    x = 7,674.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.