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Finding the Fourth Proportional to 4,708.75, 6,499.23 and 2,719.01

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Solution

The fourth proportional to 4,708.75, 6,499.23 and 2,719.01 is: 3,752.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,708.75 : 6,499.23 = 2,719.01 : x
  2. Step 2: Convert to fraction form
    4,708.75/6,499.23 = 2,719.01/x
  3. Step 3: Cross multiply
    4,708.75x = 6,499.23 × 2,719.01
  4. Step 4: Simplify right side
    4,708.75x = 17,671,471.36
  5. Step 5: Solve for x
    x = 17,671,471.36/4,708.75
  6. Step 6: Final answer
    x = 3,752.90

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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.