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Finding the Fourth Proportional to 4,475.42, 6,712.07 and 1,842.24

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Solution

The fourth proportional to 4,475.42, 6,712.07 and 1,842.24 is: 2,762.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,475.42 : 6,712.07 = 1,842.24 : x
  2. Step 2: Convert to fraction form
    4,475.42/6,712.07 = 1,842.24/x
  3. Step 3: Cross multiply
    4,475.42x = 6,712.07 × 1,842.24
  4. Step 4: Simplify right side
    4,475.42x = 12,365,248.44
  5. Step 5: Solve for x
    x = 12,365,248.44/4,475.42
  6. Step 6: Final answer
    x = 2,762.93

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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.