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Finding the Fourth Proportional to 5,302.56, 7,953.85 and 2,380.64

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Solution

The fourth proportional to 5,302.56, 7,953.85 and 2,380.64 is: 3,570.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.56 : 7,953.85 = 2,380.64 : x
  2. Step 2: Convert to fraction form
    5,302.56/7,953.85 = 2,380.64/x
  3. Step 3: Cross multiply
    5,302.56x = 7,953.85 × 2,380.64
  4. Step 4: Simplify right side
    5,302.56x = 18,935,248.02
  5. Step 5: Solve for x
    x = 18,935,248.02/5,302.56
  6. Step 6: Final answer
    x = 3,570.96

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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.