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Finding the Fourth Proportional to 4,641.89, 6,962.90 and 1,522.22

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Solution

The fourth proportional to 4,641.89, 6,962.90 and 1,522.22 is: 2,283.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,641.89 : 6,962.90 = 1,522.22 : x
  2. Step 2: Convert to fraction form
    4,641.89/6,962.90 = 1,522.22/x
  3. Step 3: Cross multiply
    4,641.89x = 6,962.90 × 1,522.22
  4. Step 4: Simplify right side
    4,641.89x = 10,599,023.21
  5. Step 5: Solve for x
    x = 10,599,023.21/4,641.89
  6. Step 6: Final answer
    x = 2,283.34

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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.