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Finding the Fourth Proportional to 3,665.84, 5,499.88 and 1,166.88

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Solution

The fourth proportional to 3,665.84, 5,499.88 and 1,166.88 is: 1,750.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,665.84 : 5,499.88 = 1,166.88 : x
  2. Step 2: Convert to fraction form
    3,665.84/5,499.88 = 1,166.88/x
  3. Step 3: Cross multiply
    3,665.84x = 5,499.88 × 1,166.88
  4. Step 4: Simplify right side
    3,665.84x = 6,417,699.97
  5. Step 5: Solve for x
    x = 6,417,699.97/3,665.84
  6. Step 6: Final answer
    x = 1,750.68

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1.5x scale

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.