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Finding the Fourth Proportional to 5,882.54, 8,117.88 and 3,230

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Solution

The fourth proportional to 5,882.54, 8,117.88 and 3,230 is: 4,457.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.54 : 8,117.88 = 3,230 : x
  2. Step 2: Convert to fraction form
    5,882.54/8,117.88 = 3,230/x
  3. Step 3: Cross multiply
    5,882.54x = 8,117.88 × 3,230
  4. Step 4: Simplify right side
    5,882.54x = 26,220,752.40
  5. Step 5: Solve for x
    x = 26,220,752.40/5,882.54
  6. Step 6: Final answer
    x = 4,457.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.