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Finding the Fourth Proportional to 4,985, 7,477.80 and 1,522.28

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Solution

The fourth proportional to 4,985, 7,477.80 and 1,522.28 is: 2,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985 : 7,477.80 = 1,522.28 : x
  2. Step 2: Convert to fraction form
    4,985/7,477.80 = 1,522.28/x
  3. Step 3: Cross multiply
    4,985x = 7,477.80 × 1,522.28
  4. Step 4: Simplify right side
    4,985x = 11,383,305.38
  5. Step 5: Solve for x
    x = 11,383,305.38/4,985
  6. Step 6: Final answer
    x = 2,283.51

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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.