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Finding the Fourth Proportional to 5,392.31, 8,088.46 and 1,496.71

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Solution

The fourth proportional to 5,392.31, 8,088.46 and 1,496.71 is: 2,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392.31 : 8,088.46 = 1,496.71 : x
  2. Step 2: Convert to fraction form
    5,392.31/8,088.46 = 1,496.71/x
  3. Step 3: Cross multiply
    5,392.31x = 8,088.46 × 1,496.71
  4. Step 4: Simplify right side
    5,392.31x = 12,106,085.34
  5. Step 5: Solve for x
    x = 12,106,085.34/5,392.31
  6. Step 6: Final answer
    x = 2,245.07

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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.