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Finding the Fourth Proportional to 3,716.69, 5,129.16 and 2,038.24

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Solution

The fourth proportional to 3,716.69, 5,129.16 and 2,038.24 is: 2,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.69 : 5,129.16 = 2,038.24 : x
  2. Step 2: Convert to fraction form
    3,716.69/5,129.16 = 2,038.24/x
  3. Step 3: Cross multiply
    3,716.69x = 5,129.16 × 2,038.24
  4. Step 4: Simplify right side
    3,716.69x = 10,454,459.08
  5. Step 5: Solve for x
    x = 10,454,459.08/3,716.69
  6. Step 6: Final answer
    x = 2,812.84

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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.