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Finding the Fourth Proportional to 4,153.60, 5,725.02 and 3,648.16

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Solution

The fourth proportional to 4,153.60, 5,725.02 and 3,648.16 is: 5,028.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.60 : 5,725.02 = 3,648.16 : x
  2. Step 2: Convert to fraction form
    4,153.60/5,725.02 = 3,648.16/x
  3. Step 3: Cross multiply
    4,153.60x = 5,725.02 × 3,648.16
  4. Step 4: Simplify right side
    4,153.60x = 20,885,788.96
  5. Step 5: Solve for x
    x = 20,885,788.96/4,153.60
  6. Step 6: Final answer
    x = 5,028.36

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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.