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Finding the Fourth Proportional to 5,788.76, 8,686.02 and 4,262.36

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Solution

The fourth proportional to 5,788.76, 8,686.02 and 4,262.36 is: 6,395.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.76 : 8,686.02 = 4,262.36 : x
  2. Step 2: Convert to fraction form
    5,788.76/8,686.02 = 4,262.36/x
  3. Step 3: Cross multiply
    5,788.76x = 8,686.02 × 4,262.36
  4. Step 4: Simplify right side
    5,788.76x = 37,022,944.21
  5. Step 5: Solve for x
    x = 37,022,944.21/5,788.76
  6. Step 6: Final answer
    x = 6,395.66

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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.