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Finding the Fourth Proportional to 3,842.02, 5,762.40 and 1,376.47

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Solution

The fourth proportional to 3,842.02, 5,762.40 and 1,376.47 is: 2,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.02 : 5,762.40 = 1,376.47 : x
  2. Step 2: Convert to fraction form
    3,842.02/5,762.40 = 1,376.47/x
  3. Step 3: Cross multiply
    3,842.02x = 5,762.40 × 1,376.47
  4. Step 4: Simplify right side
    3,842.02x = 7,931,770.73
  5. Step 5: Solve for x
    x = 7,931,770.73/3,842.02
  6. Step 6: Final answer
    x = 2,064.48

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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.