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Finding the Fourth Proportional to 4,062.96, 5,607 and 2,294.64

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Solution

The fourth proportional to 4,062.96, 5,607 and 2,294.64 is: 3,166.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062.96 : 5,607 = 2,294.64 : x
  2. Step 2: Convert to fraction form
    4,062.96/5,607 = 2,294.64/x
  3. Step 3: Cross multiply
    4,062.96x = 5,607 × 2,294.64
  4. Step 4: Simplify right side
    4,062.96x = 12,866,046.48
  5. Step 5: Solve for x
    x = 12,866,046.48/4,062.96
  6. Step 6: Final answer
    x = 3,166.67

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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.