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Finding the Fourth Proportional to 5,780.61, 7,977.62 and 3,261.81

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Solution

The fourth proportional to 5,780.61, 7,977.62 and 3,261.81 is: 4,501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.61 : 7,977.62 = 3,261.81 : x
  2. Step 2: Convert to fraction form
    5,780.61/7,977.62 = 3,261.81/x
  3. Step 3: Cross multiply
    5,780.61x = 7,977.62 × 3,261.81
  4. Step 4: Simplify right side
    5,780.61x = 26,021,453.49
  5. Step 5: Solve for x
    x = 26,021,453.49/5,780.61
  6. Step 6: Final answer
    x = 4,501.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.