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Finding the Fourth Proportional to 4,712.52, 6,509.94 and 3,774.54

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Solution

The fourth proportional to 4,712.52, 6,509.94 and 3,774.54 is: 5,214.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,712.52 : 6,509.94 = 3,774.54 : x
  2. Step 2: Convert to fraction form
    4,712.52/6,509.94 = 3,774.54/x
  3. Step 3: Cross multiply
    4,712.52x = 6,509.94 × 3,774.54
  4. Step 4: Simplify right side
    4,712.52x = 24,572,028.93
  5. Step 5: Solve for x
    x = 24,572,028.93/4,712.52
  6. Step 6: Final answer
    x = 5,214.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.