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Finding the Fourth Proportional to 5,392.95, 8,089.41 and 1,695.50

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Solution

The fourth proportional to 5,392.95, 8,089.41 and 1,695.50 is: 2,543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392.95 : 8,089.41 = 1,695.50 : x
  2. Step 2: Convert to fraction form
    5,392.95/8,089.41 = 1,695.50/x
  3. Step 3: Cross multiply
    5,392.95x = 8,089.41 × 1,695.50
  4. Step 4: Simplify right side
    5,392.95x = 13,715,554.21
  5. Step 5: Solve for x
    x = 13,715,554.21/5,392.95
  6. Step 6: Final answer
    x = 2,543.24

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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.