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Finding the Fourth Proportional to 4,494.55, 6,734.06 and 4,038.01

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Solution

The fourth proportional to 4,494.55, 6,734.06 and 4,038.01 is: 6,050.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.55 : 6,734.06 = 4,038.01 : x
  2. Step 2: Convert to fraction form
    4,494.55/6,734.06 = 4,038.01/x
  3. Step 3: Cross multiply
    4,494.55x = 6,734.06 × 4,038.01
  4. Step 4: Simplify right side
    4,494.55x = 27,192,201.62
  5. Step 5: Solve for x
    x = 27,192,201.62/4,494.55
  6. Step 6: Final answer
    x = 6,050.04

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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.