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Finding the Fourth Proportional to 4,788, 6,607.44 and 2,692.14

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Solution

The fourth proportional to 4,788, 6,607.44 and 2,692.14 is: 3,715.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,788 : 6,607.44 = 2,692.14 : x
  2. Step 2: Convert to fraction form
    4,788/6,607.44 = 2,692.14/x
  3. Step 3: Cross multiply
    4,788x = 6,607.44 × 2,692.14
  4. Step 4: Simplify right side
    4,788x = 17,788,153.52
  5. Step 5: Solve for x
    x = 17,788,153.52/4,788
  6. Step 6: Final answer
    x = 3,715.15

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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.