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Finding the Fourth Proportional to 3,446.51, 4,758.46 and 2,648.41

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Solution

The fourth proportional to 3,446.51, 4,758.46 and 2,648.41 is: 3,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.51 : 4,758.46 = 2,648.41 : x
  2. Step 2: Convert to fraction form
    3,446.51/4,758.46 = 2,648.41/x
  3. Step 3: Cross multiply
    3,446.51x = 4,758.46 × 2,648.41
  4. Step 4: Simplify right side
    3,446.51x = 12,602,334.53
  5. Step 5: Solve for x
    x = 12,602,334.53/3,446.51
  6. Step 6: Final answer
    x = 3,656.55

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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.