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Finding the Fourth Proportional to 5,603.66, 8,407.90 and 2,319.14

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Solution

The fourth proportional to 5,603.66, 8,407.90 and 2,319.14 is: 3,479.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,603.66 : 8,407.90 = 2,319.14 : x
  2. Step 2: Convert to fraction form
    5,603.66/8,407.90 = 2,319.14/x
  3. Step 3: Cross multiply
    5,603.66x = 8,407.90 × 2,319.14
  4. Step 4: Simplify right side
    5,603.66x = 19,499,097.21
  5. Step 5: Solve for x
    x = 19,499,097.21/5,603.66
  6. Step 6: Final answer
    x = 3,479.71

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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.