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Finding the Fourth Proportional to 4,145.04, 5,719.95 and 2,468.34

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Solution

The fourth proportional to 4,145.04, 5,719.95 and 2,468.34 is: 3,406.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,145.04 : 5,719.95 = 2,468.34 : x
  2. Step 2: Convert to fraction form
    4,145.04/5,719.95 = 2,468.34/x
  3. Step 3: Cross multiply
    4,145.04x = 5,719.95 × 2,468.34
  4. Step 4: Simplify right side
    4,145.04x = 14,118,781.38
  5. Step 5: Solve for x
    x = 14,118,781.38/4,145.04
  6. Step 6: Final answer
    x = 3,406.19

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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.