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Finding the Fourth Proportional to 4,678.89, 7,023.35 and 4,162.20

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Solution

The fourth proportional to 4,678.89, 7,023.35 and 4,162.20 is: 6,247.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.89 : 7,023.35 = 4,162.20 : x
  2. Step 2: Convert to fraction form
    4,678.89/7,023.35 = 4,162.20/x
  3. Step 3: Cross multiply
    4,678.89x = 7,023.35 × 4,162.20
  4. Step 4: Simplify right side
    4,678.89x = 29,232,587.37
  5. Step 5: Solve for x
    x = 29,232,587.37/4,678.89
  6. Step 6: Final answer
    x = 6,247.76

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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.