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Finding the Fourth Proportional to 3,978.60, 5,962.98 and 1,378.50

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Solution

The fourth proportional to 3,978.60, 5,962.98 and 1,378.50 is: 2,066.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,978.60 : 5,962.98 = 1,378.50 : x
  2. Step 2: Convert to fraction form
    3,978.60/5,962.98 = 1,378.50/x
  3. Step 3: Cross multiply
    3,978.60x = 5,962.98 × 1,378.50
  4. Step 4: Simplify right side
    3,978.60x = 8,219,967.93
  5. Step 5: Solve for x
    x = 8,219,967.93/3,978.60
  6. Step 6: Final answer
    x = 2,066.05

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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.