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Finding the Fourth Proportional to 5,196.95, 7,795.47 and 1,499.19

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Solution

The fourth proportional to 5,196.95, 7,795.47 and 1,499.19 is: 2,248.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,196.95 : 7,795.47 = 1,499.19 : x
  2. Step 2: Convert to fraction form
    5,196.95/7,795.47 = 1,499.19/x
  3. Step 3: Cross multiply
    5,196.95x = 7,795.47 × 1,499.19
  4. Step 4: Simplify right side
    5,196.95x = 11,686,890.67
  5. Step 5: Solve for x
    x = 11,686,890.67/5,196.95
  6. Step 6: Final answer
    x = 2,248.80

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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.