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Finding the Fourth Proportional to 6,102.04, 8,420.98 and 3,742.78

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Solution

The fourth proportional to 6,102.04, 8,420.98 and 3,742.78 is: 5,165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.04 : 8,420.98 = 3,742.78 : x
  2. Step 2: Convert to fraction form
    6,102.04/8,420.98 = 3,742.78/x
  3. Step 3: Cross multiply
    6,102.04x = 8,420.98 × 3,742.78
  4. Step 4: Simplify right side
    6,102.04x = 31,517,875.52
  5. Step 5: Solve for x
    x = 31,517,875.52/6,102.04
  6. Step 6: Final answer
    x = 5,165.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.