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Finding the Fourth Proportional to 5,612.00, 8,416.17 and 2,649.98

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Solution

The fourth proportional to 5,612.00, 8,416.17 and 2,649.98 is: 3,974.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,612.00 : 8,416.17 = 2,649.98 : x
  2. Step 2: Convert to fraction form
    5,612.00/8,416.17 = 2,649.98/x
  3. Step 3: Cross multiply
    5,612.00x = 8,416.17 × 2,649.98
  4. Step 4: Simplify right side
    5,612.00x = 22,302,682.18
  5. Step 5: Solve for x
    x = 22,302,682.18/5,612.00
  6. Step 6: Final answer
    x = 3,974.11

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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.