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Finding the Fourth Proportional to 4,709.68, 6,498.25 and 2,719.86

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Solution

The fourth proportional to 4,709.68, 6,498.25 and 2,719.86 is: 3,752.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.68 : 6,498.25 = 2,719.86 : x
  2. Step 2: Convert to fraction form
    4,709.68/6,498.25 = 2,719.86/x
  3. Step 3: Cross multiply
    4,709.68x = 6,498.25 × 2,719.86
  4. Step 4: Simplify right side
    4,709.68x = 17,674,330.25
  5. Step 5: Solve for x
    x = 17,674,330.25/4,709.68
  6. Step 6: Final answer
    x = 3,752.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.