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Finding the Fourth Proportional to 4,709.74, 6,499.11 and 2,719.93

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Solution

The fourth proportional to 4,709.74, 6,499.11 and 2,719.93 is: 3,753.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.74 : 6,499.11 = 2,719.93 : x
  2. Step 2: Convert to fraction form
    4,709.74/6,499.11 = 2,719.93/x
  3. Step 3: Cross multiply
    4,709.74x = 6,499.11 × 2,719.93
  4. Step 4: Simplify right side
    4,709.74x = 17,677,124.26
  5. Step 5: Solve for x
    x = 17,677,124.26/4,709.74
  6. Step 6: Final answer
    x = 3,753.31

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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.