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Finding the Fourth Proportional to 3,842.09, 5,762.56 and 1,068.47

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Solution

The fourth proportional to 3,842.09, 5,762.56 and 1,068.47 is: 1,602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.09 : 5,762.56 = 1,068.47 : x
  2. Step 2: Convert to fraction form
    3,842.09/5,762.56 = 1,068.47/x
  3. Step 3: Cross multiply
    3,842.09x = 5,762.56 × 1,068.47
  4. Step 4: Simplify right side
    3,842.09x = 6,157,122.48
  5. Step 5: Solve for x
    x = 6,157,122.48/3,842.09
  6. Step 6: Final answer
    x = 1,602.55

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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.