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Finding the Fourth Proportional to 4,674.88, 6,454.38 and 3,610.77

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Solution

The fourth proportional to 4,674.88, 6,454.38 and 3,610.77 is: 4,985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.88 : 6,454.38 = 3,610.77 : x
  2. Step 2: Convert to fraction form
    4,674.88/6,454.38 = 3,610.77/x
  3. Step 3: Cross multiply
    4,674.88x = 6,454.38 × 3,610.77
  4. Step 4: Simplify right side
    4,674.88x = 23,305,281.67
  5. Step 5: Solve for x
    x = 23,305,281.67/4,674.88
  6. Step 6: Final answer
    x = 4,985.21

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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.