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Finding the Fourth Proportional to 3,674.74, 5,069.10 and 2,416

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Solution

The fourth proportional to 3,674.74, 5,069.10 and 2,416 is: 3,332.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,674.74 : 5,069.10 = 2,416 : x
  2. Step 2: Convert to fraction form
    3,674.74/5,069.10 = 2,416/x
  3. Step 3: Cross multiply
    3,674.74x = 5,069.10 × 2,416
  4. Step 4: Simplify right side
    3,674.74x = 12,246,945.60
  5. Step 5: Solve for x
    x = 12,246,945.60/3,674.74
  6. Step 6: Final answer
    x = 3,332.74

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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.