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Finding the Fourth Proportional to 3,661.16, 5,482.50 and 2,424.84

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Solution

The fourth proportional to 3,661.16, 5,482.50 and 2,424.84 is: 3,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.16 : 5,482.50 = 2,424.84 : x
  2. Step 2: Convert to fraction form
    3,661.16/5,482.50 = 2,424.84/x
  3. Step 3: Cross multiply
    3,661.16x = 5,482.50 × 2,424.84
  4. Step 4: Simplify right side
    3,661.16x = 13,294,185.30
  5. Step 5: Solve for x
    x = 13,294,185.30/3,661.16
  6. Step 6: Final answer
    x = 3,631.14

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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.