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Finding the Fourth Proportional to 4,985.02, 7,477.26 and 1,522

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Solution

The fourth proportional to 4,985.02, 7,477.26 and 1,522 is: 2,282.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.02 : 7,477.26 = 1,522 : x
  2. Step 2: Convert to fraction form
    4,985.02/7,477.26 = 1,522/x
  3. Step 3: Cross multiply
    4,985.02x = 7,477.26 × 1,522
  4. Step 4: Simplify right side
    4,985.02x = 11,380,389.72
  5. Step 5: Solve for x
    x = 11,380,389.72/4,985.02
  6. Step 6: Final answer
    x = 2,282.92

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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.