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Finding the Fourth Proportional to 5,856.42, 8,784.51 and 2,393.70

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Solution

The fourth proportional to 5,856.42, 8,784.51 and 2,393.70 is: 3,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,856.42 : 8,784.51 = 2,393.70 : x
  2. Step 2: Convert to fraction form
    5,856.42/8,784.51 = 2,393.70/x
  3. Step 3: Cross multiply
    5,856.42x = 8,784.51 × 2,393.70
  4. Step 4: Simplify right side
    5,856.42x = 21,027,481.59
  5. Step 5: Solve for x
    x = 21,027,481.59/5,856.42
  6. Step 6: Final answer
    x = 3,590.50

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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.