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Finding the Fourth Proportional to 5,486.16, 8,230.02 and 2,023.14

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Solution

The fourth proportional to 5,486.16, 8,230.02 and 2,023.14 is: 3,035.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.16 : 8,230.02 = 2,023.14 : x
  2. Step 2: Convert to fraction form
    5,486.16/8,230.02 = 2,023.14/x
  3. Step 3: Cross multiply
    5,486.16x = 8,230.02 × 2,023.14
  4. Step 4: Simplify right side
    5,486.16x = 16,650,482.66
  5. Step 5: Solve for x
    x = 16,650,482.66/5,486.16
  6. Step 6: Final answer
    x = 3,035.00

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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.