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Finding the Fourth Proportional to 4,747.02, 7,119.99 and 1,284

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Solution

The fourth proportional to 4,747.02, 7,119.99 and 1,284 is: 1,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,747.02 : 7,119.99 = 1,284 : x
  2. Step 2: Convert to fraction form
    4,747.02/7,119.99 = 1,284/x
  3. Step 3: Cross multiply
    4,747.02x = 7,119.99 × 1,284
  4. Step 4: Simplify right side
    4,747.02x = 9,142,067.16
  5. Step 5: Solve for x
    x = 9,142,067.16/4,747.02
  6. Step 6: Final answer
    x = 1,925.85

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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.