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Finding the Fourth Proportional to 4,117.74, 5,682.05 and 2,349

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Solution

The fourth proportional to 4,117.74, 5,682.05 and 2,349 is: 3,241.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.74 : 5,682.05 = 2,349 : x
  2. Step 2: Convert to fraction form
    4,117.74/5,682.05 = 2,349/x
  3. Step 3: Cross multiply
    4,117.74x = 5,682.05 × 2,349
  4. Step 4: Simplify right side
    4,117.74x = 13,347,132.51
  5. Step 5: Solve for x
    x = 13,347,132.51/4,117.74
  6. Step 6: Final answer
    x = 3,241.38

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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.