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Finding the Fourth Proportional to 3,709, 5,559.18 and 2,064.76

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Solution

The fourth proportional to 3,709, 5,559.18 and 2,064.76 is: 3,094.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709 : 5,559.18 = 2,064.76 : x
  2. Step 2: Convert to fraction form
    3,709/5,559.18 = 2,064.76/x
  3. Step 3: Cross multiply
    3,709x = 5,559.18 × 2,064.76
  4. Step 4: Simplify right side
    3,709x = 11,478,372.50
  5. Step 5: Solve for x
    x = 11,478,372.50/3,709
  6. Step 6: Final answer
    x = 3,094.74

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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.