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Finding the Fourth Proportional to 3,650, 5,473.84 and 1,184.25

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Solution

The fourth proportional to 3,650, 5,473.84 and 1,184.25 is: 1,776.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650 : 5,473.84 = 1,184.25 : x
  2. Step 2: Convert to fraction form
    3,650/5,473.84 = 1,184.25/x
  3. Step 3: Cross multiply
    3,650x = 5,473.84 × 1,184.25
  4. Step 4: Simplify right side
    3,650x = 6,482,395.02
  5. Step 5: Solve for x
    x = 6,482,395.02/3,650
  6. Step 6: Final answer
    x = 1,776.00

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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.