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Finding the Fourth Proportional to 6,056.42, 8,354.81 and 5,258.66

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Solution

The fourth proportional to 6,056.42, 8,354.81 and 5,258.66 is: 7,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,056.42 : 8,354.81 = 5,258.66 : x
  2. Step 2: Convert to fraction form
    6,056.42/8,354.81 = 5,258.66/x
  3. Step 3: Cross multiply
    6,056.42x = 8,354.81 × 5,258.66
  4. Step 4: Simplify right side
    6,056.42x = 43,935,105.15
  5. Step 5: Solve for x
    x = 43,935,105.15/6,056.42
  6. Step 6: Final answer
    x = 7,254.30

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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.