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Finding the Fourth Proportional to 5,744.61, 8,616.95 and 2,046.99

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Solution

The fourth proportional to 5,744.61, 8,616.95 and 2,046.99 is: 3,070.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.61 : 8,616.95 = 2,046.99 : x
  2. Step 2: Convert to fraction form
    5,744.61/8,616.95 = 2,046.99/x
  3. Step 3: Cross multiply
    5,744.61x = 8,616.95 × 2,046.99
  4. Step 4: Simplify right side
    5,744.61x = 17,638,772.51
  5. Step 5: Solve for x
    x = 17,638,772.51/5,744.61
  6. Step 6: Final answer
    x = 3,070.49

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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.