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Finding the Fourth Proportional to 5,006.30, 7,510.05 and 2,408.63

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Solution

The fourth proportional to 5,006.30, 7,510.05 and 2,408.63 is: 3,613.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.30 : 7,510.05 = 2,408.63 : x
  2. Step 2: Convert to fraction form
    5,006.30/7,510.05 = 2,408.63/x
  3. Step 3: Cross multiply
    5,006.30x = 7,510.05 × 2,408.63
  4. Step 4: Simplify right side
    5,006.30x = 18,088,894.18
  5. Step 5: Solve for x
    x = 18,088,894.18/5,006.30
  6. Step 6: Final answer
    x = 3,613.23

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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.