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Finding the Fourth Proportional to 3,842.76, 5,762.16 and 1,245.36

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Solution

The fourth proportional to 3,842.76, 5,762.16 and 1,245.36 is: 1,867.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.76 : 5,762.16 = 1,245.36 : x
  2. Step 2: Convert to fraction form
    3,842.76/5,762.16 = 1,245.36/x
  3. Step 3: Cross multiply
    3,842.76x = 5,762.16 × 1,245.36
  4. Step 4: Simplify right side
    3,842.76x = 7,175,963.58
  5. Step 5: Solve for x
    x = 7,175,963.58/3,842.76
  6. Step 6: Final answer
    x = 1,867.40

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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.