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Finding the Fourth Proportional to 5,823.60, 8,738.98 and 2,313

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Solution

The fourth proportional to 5,823.60, 8,738.98 and 2,313 is: 3,470.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.60 : 8,738.98 = 2,313 : x
  2. Step 2: Convert to fraction form
    5,823.60/8,738.98 = 2,313/x
  3. Step 3: Cross multiply
    5,823.60x = 8,738.98 × 2,313
  4. Step 4: Simplify right side
    5,823.60x = 20,213,260.74
  5. Step 5: Solve for x
    x = 20,213,260.74/5,823.60
  6. Step 6: Final answer
    x = 3,470.92

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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.