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Finding the Fourth Proportional to 5,865.24, 8,798.32 and 1,705.31

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Solution

The fourth proportional to 5,865.24, 8,798.32 and 1,705.31 is: 2,558.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.24 : 8,798.32 = 1,705.31 : x
  2. Step 2: Convert to fraction form
    5,865.24/8,798.32 = 1,705.31/x
  3. Step 3: Cross multiply
    5,865.24x = 8,798.32 × 1,705.31
  4. Step 4: Simplify right side
    5,865.24x = 15,003,863.08
  5. Step 5: Solve for x
    x = 15,003,863.08/5,865.24
  6. Step 6: Final answer
    x = 2,558.10

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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.