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Finding the Fourth Proportional to 5,354.90, 8,032.67 and 2,068.01

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Solution

The fourth proportional to 5,354.90, 8,032.67 and 2,068.01 is: 3,102.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.90 : 8,032.67 = 2,068.01 : x
  2. Step 2: Convert to fraction form
    5,354.90/8,032.67 = 2,068.01/x
  3. Step 3: Cross multiply
    5,354.90x = 8,032.67 × 2,068.01
  4. Step 4: Simplify right side
    5,354.90x = 16,611,631.55
  5. Step 5: Solve for x
    x = 16,611,631.55/5,354.90
  6. Step 6: Final answer
    x = 3,102.14

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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.