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Finding the Fourth Proportional to 4,718.52, 6,509.16 and 3,143.88

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Solution

The fourth proportional to 4,718.52, 6,509.16 and 3,143.88 is: 4,336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,718.52 : 6,509.16 = 3,143.88 : x
  2. Step 2: Convert to fraction form
    4,718.52/6,509.16 = 3,143.88/x
  3. Step 3: Cross multiply
    4,718.52x = 6,509.16 × 3,143.88
  4. Step 4: Simplify right side
    4,718.52x = 20,464,017.94
  5. Step 5: Solve for x
    x = 20,464,017.94/4,718.52
  6. Step 6: Final answer
    x = 4,336.96

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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.