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Finding the Fourth Proportional to 4,531.63, 6,759.80 and 4,456.45

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Solution

The fourth proportional to 4,531.63, 6,759.80 and 4,456.45 is: 6,647.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,531.63 : 6,759.80 = 4,456.45 : x
  2. Step 2: Convert to fraction form
    4,531.63/6,759.80 = 4,456.45/x
  3. Step 3: Cross multiply
    4,531.63x = 6,759.80 × 4,456.45
  4. Step 4: Simplify right side
    4,531.63x = 30,124,738.66
  5. Step 5: Solve for x
    x = 30,124,738.66/4,531.63
  6. Step 6: Final answer
    x = 6,647.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.