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Finding the Fourth Proportional to 5,259.84, 7,887.36 and 1,795.68

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Solution

The fourth proportional to 5,259.84, 7,887.36 and 1,795.68 is: 2,692.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.84 : 7,887.36 = 1,795.68 : x
  2. Step 2: Convert to fraction form
    5,259.84/7,887.36 = 1,795.68/x
  3. Step 3: Cross multiply
    5,259.84x = 7,887.36 × 1,795.68
  4. Step 4: Simplify right side
    5,259.84x = 14,163,174.60
  5. Step 5: Solve for x
    x = 14,163,174.60/5,259.84
  6. Step 6: Final answer
    x = 2,692.70

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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.