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Finding the Fourth Proportional to 3,482.19, 4,806.84 and 2,596.46

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Solution

The fourth proportional to 3,482.19, 4,806.84 and 2,596.46 is: 3,584.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482.19 : 4,806.84 = 2,596.46 : x
  2. Step 2: Convert to fraction form
    3,482.19/4,806.84 = 2,596.46/x
  3. Step 3: Cross multiply
    3,482.19x = 4,806.84 × 2,596.46
  4. Step 4: Simplify right side
    3,482.19x = 12,480,753.49
  5. Step 5: Solve for x
    x = 12,480,753.49/3,482.19
  6. Step 6: Final answer
    x = 3,584.17

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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.