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Finding the Fourth Proportional to 5,006.23, 7,510.10 and 1,720.26

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Solution

The fourth proportional to 5,006.23, 7,510.10 and 1,720.26 is: 2,580.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,006.23 : 7,510.10 = 1,720.26 : x
  2. Step 2: Convert to fraction form
    5,006.23/7,510.10 = 1,720.26/x
  3. Step 3: Cross multiply
    5,006.23x = 7,510.10 × 1,720.26
  4. Step 4: Simplify right side
    5,006.23x = 12,919,316.02
  5. Step 5: Solve for x
    x = 12,919,316.02/5,006.23
  6. Step 6: Final answer
    x = 2,580.65

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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.