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Finding the Fourth Proportional to 4,717.61, 6,509.78 and 2,829.27

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Solution

The fourth proportional to 4,717.61, 6,509.78 and 2,829.27 is: 3,904.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,717.61 : 6,509.78 = 2,829.27 : x
  2. Step 2: Convert to fraction form
    4,717.61/6,509.78 = 2,829.27/x
  3. Step 3: Cross multiply
    4,717.61x = 6,509.78 × 2,829.27
  4. Step 4: Simplify right side
    4,717.61x = 18,417,945.54
  5. Step 5: Solve for x
    x = 18,417,945.54/4,717.61
  6. Step 6: Final answer
    x = 3,904.08

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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.