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Finding the Fourth Proportional to 5,855.24, 8,783.43 and 1,695.16

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Solution

The fourth proportional to 5,855.24, 8,783.43 and 1,695.16 is: 2,542.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.24 : 8,783.43 = 1,695.16 : x
  2. Step 2: Convert to fraction form
    5,855.24/8,783.43 = 1,695.16/x
  3. Step 3: Cross multiply
    5,855.24x = 8,783.43 × 1,695.16
  4. Step 4: Simplify right side
    5,855.24x = 14,889,275.28
  5. Step 5: Solve for x
    x = 14,889,275.28/5,855.24
  6. Step 6: Final answer
    x = 2,542.90

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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.