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Finding the Fourth Proportional to 5,419.74, 8,129.02 and 3,675.93

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Solution

The fourth proportional to 5,419.74, 8,129.02 and 3,675.93 is: 5,513.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,419.74 : 8,129.02 = 3,675.93 : x
  2. Step 2: Convert to fraction form
    5,419.74/8,129.02 = 3,675.93/x
  3. Step 3: Cross multiply
    5,419.74x = 8,129.02 × 3,675.93
  4. Step 4: Simplify right side
    5,419.74x = 29,881,690.11
  5. Step 5: Solve for x
    x = 29,881,690.11/5,419.74
  6. Step 6: Final answer
    x = 5,513.50

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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.