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Finding the Fourth Proportional to 4,255.65, 6,406.05 and 3,031.53

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Solution

The fourth proportional to 4,255.65, 6,406.05 and 3,031.53 is: 4,563.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255.65 : 6,406.05 = 3,031.53 : x
  2. Step 2: Convert to fraction form
    4,255.65/6,406.05 = 3,031.53/x
  3. Step 3: Cross multiply
    4,255.65x = 6,406.05 × 3,031.53
  4. Step 4: Simplify right side
    4,255.65x = 19,420,132.76
  5. Step 5: Solve for x
    x = 19,420,132.76/4,255.65
  6. Step 6: Final answer
    x = 4,563.38

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.