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Finding the Fourth Proportional to 5,943.60, 8,935.65 and 4,855.86

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Solution

The fourth proportional to 5,943.60, 8,935.65 and 4,855.86 is: 7,300.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.60 : 8,935.65 = 4,855.86 : x
  2. Step 2: Convert to fraction form
    5,943.60/8,935.65 = 4,855.86/x
  3. Step 3: Cross multiply
    5,943.60x = 8,935.65 × 4,855.86
  4. Step 4: Simplify right side
    5,943.60x = 43,390,265.41
  5. Step 5: Solve for x
    x = 43,390,265.41/5,943.60
  6. Step 6: Final answer
    x = 7,300.33

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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.