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Finding the Fourth Proportional to 5,269.67, 7,903.62 and 1,762.10

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Solution

The fourth proportional to 5,269.67, 7,903.62 and 1,762.10 is: 2,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,269.67 : 7,903.62 = 1,762.10 : x
  2. Step 2: Convert to fraction form
    5,269.67/7,903.62 = 1,762.10/x
  3. Step 3: Cross multiply
    5,269.67x = 7,903.62 × 1,762.10
  4. Step 4: Simplify right side
    5,269.67x = 13,926,929.28
  5. Step 5: Solve for x
    x = 13,926,929.28/5,269.67
  6. Step 6: Final answer
    x = 2,642.85

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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.