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Finding the Fourth Proportional to 8,284.08, 12,428.28 and 3,090

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Solution

The fourth proportional to 8,284.08, 12,428.28 and 3,090 is: 4,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.08 : 12,428.28 = 3,090 : x
  2. Step 2: Convert to fraction form
    8,284.08/12,428.28 = 3,090/x
  3. Step 3: Cross multiply
    8,284.08x = 12,428.28 × 3,090
  4. Step 4: Simplify right side
    8,284.08x = 38,403,385.20
  5. Step 5: Solve for x
    x = 38,403,385.20/8,284.08
  6. Step 6: Final answer
    x = 4,635.81

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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.