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Finding the Fourth Proportional to 5,793.92, 8,690.93 and 1,411.36

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Solution

The fourth proportional to 5,793.92, 8,690.93 and 1,411.36 is: 2,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.92 : 8,690.93 = 1,411.36 : x
  2. Step 2: Convert to fraction form
    5,793.92/8,690.93 = 1,411.36/x
  3. Step 3: Cross multiply
    5,793.92x = 8,690.93 × 1,411.36
  4. Step 4: Simplify right side
    5,793.92x = 12,266,030.96
  5. Step 5: Solve for x
    x = 12,266,030.96/5,793.92
  6. Step 6: Final answer
    x = 2,117.05

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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.