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Finding the Fourth Proportional to 3,875.86, 5,812.92 and 1,102.47

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Solution

The fourth proportional to 3,875.86, 5,812.92 and 1,102.47 is: 1,653.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,875.86 : 5,812.92 = 1,102.47 : x
  2. Step 2: Convert to fraction form
    3,875.86/5,812.92 = 1,102.47/x
  3. Step 3: Cross multiply
    3,875.86x = 5,812.92 × 1,102.47
  4. Step 4: Simplify right side
    3,875.86x = 6,408,589.76
  5. Step 5: Solve for x
    x = 6,408,589.76/3,875.86
  6. Step 6: Final answer
    x = 1,653.46

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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.