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Finding the Fourth Proportional to 4,269.39, 6,404.10 and 1,347.93

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Solution

The fourth proportional to 4,269.39, 6,404.10 and 1,347.93 is: 2,021.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,269.39 : 6,404.10 = 1,347.93 : x
  2. Step 2: Convert to fraction form
    4,269.39/6,404.10 = 1,347.93/x
  3. Step 3: Cross multiply
    4,269.39x = 6,404.10 × 1,347.93
  4. Step 4: Simplify right side
    4,269.39x = 8,632,278.51
  5. Step 5: Solve for x
    x = 8,632,278.51/4,269.39
  6. Step 6: Final answer
    x = 2,021.90

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