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Finding the Fourth Proportional to 5,649.84, 8,461.80 and 3,046.50

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Solution

The fourth proportional to 5,649.84, 8,461.80 and 3,046.50 is: 4,562.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.84 : 8,461.80 = 3,046.50 : x
  2. Step 2: Convert to fraction form
    5,649.84/8,461.80 = 3,046.50/x
  3. Step 3: Cross multiply
    5,649.84x = 8,461.80 × 3,046.50
  4. Step 4: Simplify right side
    5,649.84x = 25,778,873.70
  5. Step 5: Solve for x
    x = 25,778,873.70/5,649.84
  6. Step 6: Final answer
    x = 4,562.76

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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.