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Finding the Fourth Proportional to 3,859.12, 5,788.96 and 1,360

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Solution

The fourth proportional to 3,859.12, 5,788.96 and 1,360 is: 2,040.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.12 : 5,788.96 = 1,360 : x
  2. Step 2: Convert to fraction form
    3,859.12/5,788.96 = 1,360/x
  3. Step 3: Cross multiply
    3,859.12x = 5,788.96 × 1,360
  4. Step 4: Simplify right side
    3,859.12x = 7,872,985.60
  5. Step 5: Solve for x
    x = 7,872,985.60/3,859.12
  6. Step 6: Final answer
    x = 2,040.10

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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.