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Finding the Fourth Proportional to 5,039.66, 7,561 and 2,036.16

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Solution

The fourth proportional to 5,039.66, 7,561 and 2,036.16 is: 3,054.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,039.66 : 7,561 = 2,036.16 : x
  2. Step 2: Convert to fraction form
    5,039.66/7,561 = 2,036.16/x
  3. Step 3: Cross multiply
    5,039.66x = 7,561 × 2,036.16
  4. Step 4: Simplify right side
    5,039.66x = 15,395,405.76
  5. Step 5: Solve for x
    x = 15,395,405.76/5,039.66
  6. Step 6: Final answer
    x = 3,054.85

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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.