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Finding the Fourth Proportional to 5,062.50, 7,598.00 and 2,724.23

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Solution

The fourth proportional to 5,062.50, 7,598.00 and 2,724.23 is: 4,088.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.50 : 7,598.00 = 2,724.23 : x
  2. Step 2: Convert to fraction form
    5,062.50/7,598.00 = 2,724.23/x
  3. Step 3: Cross multiply
    5,062.50x = 7,598.00 × 2,724.23
  4. Step 4: Simplify right side
    5,062.50x = 20,698,725.35
  5. Step 5: Solve for x
    x = 20,698,725.35/5,062.50
  6. Step 6: Final answer
    x = 4,088.64

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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.