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Finding the Fourth Proportional to 3,852.08, 5,319.24 and 2,438

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Solution

The fourth proportional to 3,852.08, 5,319.24 and 2,438 is: 3,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.08 : 5,319.24 = 2,438 : x
  2. Step 2: Convert to fraction form
    3,852.08/5,319.24 = 2,438/x
  3. Step 3: Cross multiply
    3,852.08x = 5,319.24 × 2,438
  4. Step 4: Simplify right side
    3,852.08x = 12,968,307.12
  5. Step 5: Solve for x
    x = 12,968,307.12/3,852.08
  6. Step 6: Final answer
    x = 3,366.57

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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.