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Finding the Fourth Proportional to 5,815.98, 8,724.24 and 1,656.27

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Solution

The fourth proportional to 5,815.98, 8,724.24 and 1,656.27 is: 2,484.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.98 : 8,724.24 = 1,656.27 : x
  2. Step 2: Convert to fraction form
    5,815.98/8,724.24 = 1,656.27/x
  3. Step 3: Cross multiply
    5,815.98x = 8,724.24 × 1,656.27
  4. Step 4: Simplify right side
    5,815.98x = 14,449,728.51
  5. Step 5: Solve for x
    x = 14,449,728.51/5,815.98
  6. Step 6: Final answer
    x = 2,484.49

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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.