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Finding the Fourth Proportional to 3,118.38, 4,302.86 and 1,859.40

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Solution

The fourth proportional to 3,118.38, 4,302.86 and 1,859.40 is: 2,565.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.38 : 4,302.86 = 1,859.40 : x
  2. Step 2: Convert to fraction form
    3,118.38/4,302.86 = 1,859.40/x
  3. Step 3: Cross multiply
    3,118.38x = 4,302.86 × 1,859.40
  4. Step 4: Simplify right side
    3,118.38x = 8,000,737.88
  5. Step 5: Solve for x
    x = 8,000,737.88/3,118.38
  6. Step 6: Final answer
    x = 2,565.67

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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.