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Finding the Fourth Proportional to 3,454.88, 4,765.59 and 2,461.52

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Solution

The fourth proportional to 3,454.88, 4,765.59 and 2,461.52 is: 3,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.88 : 4,765.59 = 2,461.52 : x
  2. Step 2: Convert to fraction form
    3,454.88/4,765.59 = 2,461.52/x
  3. Step 3: Cross multiply
    3,454.88x = 4,765.59 × 2,461.52
  4. Step 4: Simplify right side
    3,454.88x = 11,730,607.01
  5. Step 5: Solve for x
    x = 11,730,607.01/3,454.88
  6. Step 6: Final answer
    x = 3,395.38

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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.