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Finding the Fourth Proportional to 5,615.55, 7,746.30 and 3,257.37

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Solution

The fourth proportional to 5,615.55, 7,746.30 and 3,257.37 is: 4,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.55 : 7,746.30 = 3,257.37 : x
  2. Step 2: Convert to fraction form
    5,615.55/7,746.30 = 3,257.37/x
  3. Step 3: Cross multiply
    5,615.55x = 7,746.30 × 3,257.37
  4. Step 4: Simplify right side
    5,615.55x = 25,232,565.23
  5. Step 5: Solve for x
    x = 25,232,565.23/5,615.55
  6. Step 6: Final answer
    x = 4,493.34

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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.