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Finding the Fourth Proportional to 4,291.70, 6,438.77 and 1,370.23

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Solution

The fourth proportional to 4,291.70, 6,438.77 and 1,370.23 is: 2,055.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.70 : 6,438.77 = 1,370.23 : x
  2. Step 2: Convert to fraction form
    4,291.70/6,438.77 = 1,370.23/x
  3. Step 3: Cross multiply
    4,291.70x = 6,438.77 × 1,370.23
  4. Step 4: Simplify right side
    4,291.70x = 8,822,595.82
  5. Step 5: Solve for x
    x = 8,822,595.82/4,291.70
  6. Step 6: Final answer
    x = 2,055.73

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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.