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Finding the Fourth Proportional to 4,690.31, 7,038.90 and 2,225.12

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Solution

The fourth proportional to 4,690.31, 7,038.90 and 2,225.12 is: 3,339.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,690.31 : 7,038.90 = 2,225.12 : x
  2. Step 2: Convert to fraction form
    4,690.31/7,038.90 = 2,225.12/x
  3. Step 3: Cross multiply
    4,690.31x = 7,038.90 × 2,225.12
  4. Step 4: Simplify right side
    4,690.31x = 15,662,361.97
  5. Step 5: Solve for x
    x = 15,662,361.97/4,690.31
  6. Step 6: Final answer
    x = 3,339.31

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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.