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Finding the Fourth Proportional to 3,648.15, 5,464 and 2,557.38

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Solution

The fourth proportional to 3,648.15, 5,464 and 2,557.38 is: 3,830.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.15 : 5,464 = 2,557.38 : x
  2. Step 2: Convert to fraction form
    3,648.15/5,464 = 2,557.38/x
  3. Step 3: Cross multiply
    3,648.15x = 5,464 × 2,557.38
  4. Step 4: Simplify right side
    3,648.15x = 13,973,524.32
  5. Step 5: Solve for x
    x = 13,973,524.32/3,648.15
  6. Step 6: Final answer
    x = 3,830.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.