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Finding the Fourth Proportional to 3,419.94, 5,129.27 and 1,444.93

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Solution

The fourth proportional to 3,419.94, 5,129.27 and 1,444.93 is: 2,167.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419.94 : 5,129.27 = 1,444.93 : x
  2. Step 2: Convert to fraction form
    3,419.94/5,129.27 = 1,444.93/x
  3. Step 3: Cross multiply
    3,419.94x = 5,129.27 × 1,444.93
  4. Step 4: Simplify right side
    3,419.94x = 7,411,429.60
  5. Step 5: Solve for x
    x = 7,411,429.60/3,419.94
  6. Step 6: Final answer
    x = 2,167.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.