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Finding the Fourth Proportional to 5,557.78, 8,337.84 and 2,095

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Solution

The fourth proportional to 5,557.78, 8,337.84 and 2,095 is: 3,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,557.78 : 8,337.84 = 2,095 : x
  2. Step 2: Convert to fraction form
    5,557.78/8,337.84 = 2,095/x
  3. Step 3: Cross multiply
    5,557.78x = 8,337.84 × 2,095
  4. Step 4: Simplify right side
    5,557.78x = 17,467,774.80
  5. Step 5: Solve for x
    x = 17,467,774.80/5,557.78
  6. Step 6: Final answer
    x = 3,142.94

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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.