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Finding the Fourth Proportional to 5,302.78, 7,954.17 and 1,840.06

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Solution

The fourth proportional to 5,302.78, 7,954.17 and 1,840.06 is: 2,760.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.78 : 7,954.17 = 1,840.06 : x
  2. Step 2: Convert to fraction form
    5,302.78/7,954.17 = 1,840.06/x
  3. Step 3: Cross multiply
    5,302.78x = 7,954.17 × 1,840.06
  4. Step 4: Simplify right side
    5,302.78x = 14,636,150.05
  5. Step 5: Solve for x
    x = 14,636,150.05/5,302.78
  6. Step 6: Final answer
    x = 2,760.09

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1.5x scale

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.