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Finding the Fourth Proportional to 6,101.60, 8,420.32 and 3,742.88

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Solution

The fourth proportional to 6,101.60, 8,420.32 and 3,742.88 is: 5,165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.60 : 8,420.32 = 3,742.88 : x
  2. Step 2: Convert to fraction form
    6,101.60/8,420.32 = 3,742.88/x
  3. Step 3: Cross multiply
    6,101.60x = 8,420.32 × 3,742.88
  4. Step 4: Simplify right side
    6,101.60x = 31,516,247.32
  5. Step 5: Solve for x
    x = 31,516,247.32/6,101.60
  6. Step 6: Final answer
    x = 5,165.24

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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.