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Finding the Fourth Proportional to 3,482.73, 4,806.16 and 2,085.48

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Solution

The fourth proportional to 3,482.73, 4,806.16 and 2,085.48 is: 2,877.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.73 : 4,806.16 = 2,085.48 : x
  2. Step 2: Convert to fraction form
    3,482.73/4,806.16 = 2,085.48/x
  3. Step 3: Cross multiply
    3,482.73x = 4,806.16 × 2,085.48
  4. Step 4: Simplify right side
    3,482.73x = 10,023,145.34
  5. Step 5: Solve for x
    x = 10,023,145.34/3,482.73
  6. Step 6: Final answer
    x = 2,877.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.