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Finding the Fourth Proportional to 5,320.36, 7,977.66 and 1,855

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Solution

The fourth proportional to 5,320.36, 7,977.66 and 1,855 is: 2,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,320.36 : 7,977.66 = 1,855 : x
  2. Step 2: Convert to fraction form
    5,320.36/7,977.66 = 1,855/x
  3. Step 3: Cross multiply
    5,320.36x = 7,977.66 × 1,855
  4. Step 4: Simplify right side
    5,320.36x = 14,798,559.30
  5. Step 5: Solve for x
    x = 14,798,559.30/5,320.36
  6. Step 6: Final answer
    x = 2,781.50

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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.