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Finding the Fourth Proportional to 4,652.57, 6,979.16 and 2,055.50

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Solution

The fourth proportional to 4,652.57, 6,979.16 and 2,055.50 is: 3,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.57 : 6,979.16 = 2,055.50 : x
  2. Step 2: Convert to fraction form
    4,652.57/6,979.16 = 2,055.50/x
  3. Step 3: Cross multiply
    4,652.57x = 6,979.16 × 2,055.50
  4. Step 4: Simplify right side
    4,652.57x = 14,345,653.10
  5. Step 5: Solve for x
    x = 14,345,653.10/4,652.57
  6. Step 6: Final answer
    x = 3,083.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.