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Finding the Fourth Proportional to 3,671.74, 5,065.53 and 2,099.50

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Solution

The fourth proportional to 3,671.74, 5,065.53 and 2,099.50 is: 2,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.74 : 5,065.53 = 2,099.50 : x
  2. Step 2: Convert to fraction form
    3,671.74/5,065.53 = 2,099.50/x
  3. Step 3: Cross multiply
    3,671.74x = 5,065.53 × 2,099.50
  4. Step 4: Simplify right side
    3,671.74x = 10,635,080.24
  5. Step 5: Solve for x
    x = 10,635,080.24/3,671.74
  6. Step 6: Final answer
    x = 2,896.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.