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Finding the Fourth Proportional to 5,370.72, 8,049.16 and 2,407.00

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Solution

The fourth proportional to 5,370.72, 8,049.16 and 2,407.00 is: 3,607.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.72 : 8,049.16 = 2,407.00 : x
  2. Step 2: Convert to fraction form
    5,370.72/8,049.16 = 2,407.00/x
  3. Step 3: Cross multiply
    5,370.72x = 8,049.16 × 2,407.00
  4. Step 4: Simplify right side
    5,370.72x = 19,374,312.56
  5. Step 5: Solve for x
    x = 19,374,312.56/5,370.72
  6. Step 6: Final answer
    x = 3,607.39

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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.