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Finding the Fourth Proportional to 4,709.98, 6,498.90 and 2,719.80

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Solution

The fourth proportional to 4,709.98, 6,498.90 and 2,719.80 is: 3,752.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.98 : 6,498.90 = 2,719.80 : x
  2. Step 2: Convert to fraction form
    4,709.98/6,498.90 = 2,719.80/x
  3. Step 3: Cross multiply
    4,709.98x = 6,498.90 × 2,719.80
  4. Step 4: Simplify right side
    4,709.98x = 17,675,708.22
  5. Step 5: Solve for x
    x = 17,675,708.22/4,709.98
  6. Step 6: Final answer
    x = 3,752.82

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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.