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Finding the Fourth Proportional to 5,830.14, 8,745.18 and 2,497.90

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Solution

The fourth proportional to 5,830.14, 8,745.18 and 2,497.90 is: 3,746.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,830.14 : 8,745.18 = 2,497.90 : x
  2. Step 2: Convert to fraction form
    5,830.14/8,745.18 = 2,497.90/x
  3. Step 3: Cross multiply
    5,830.14x = 8,745.18 × 2,497.90
  4. Step 4: Simplify right side
    5,830.14x = 21,844,585.12
  5. Step 5: Solve for x
    x = 21,844,585.12/5,830.14
  6. Step 6: Final answer
    x = 3,746.84

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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.