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Finding the Fourth Proportional to 3,671.74, 5,064.96 and 2,413

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Solution

The fourth proportional to 3,671.74, 5,064.96 and 2,413 is: 3,328.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.74 : 5,064.96 = 2,413 : x
  2. Step 2: Convert to fraction form
    3,671.74/5,064.96 = 2,413/x
  3. Step 3: Cross multiply
    3,671.74x = 5,064.96 × 2,413
  4. Step 4: Simplify right side
    3,671.74x = 12,221,748.48
  5. Step 5: Solve for x
    x = 12,221,748.48/3,671.74
  6. Step 6: Final answer
    x = 3,328.60

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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.