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Finding the Fourth Proportional to 4,166.88, 5,750.64 and 2,594.88

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Solution

The fourth proportional to 4,166.88, 5,750.64 and 2,594.88 is: 3,581.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,166.88 : 5,750.64 = 2,594.88 : x
  2. Step 2: Convert to fraction form
    4,166.88/5,750.64 = 2,594.88/x
  3. Step 3: Cross multiply
    4,166.88x = 5,750.64 × 2,594.88
  4. Step 4: Simplify right side
    4,166.88x = 14,922,220.72
  5. Step 5: Solve for x
    x = 14,922,220.72/4,166.88
  6. Step 6: Final answer
    x = 3,581.15

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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.