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Finding the Fourth Proportional to 4,737.89, 6,537.79 and 2,749.10

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Solution

The fourth proportional to 4,737.89, 6,537.79 and 2,749.10 is: 3,793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.89 : 6,537.79 = 2,749.10 : x
  2. Step 2: Convert to fraction form
    4,737.89/6,537.79 = 2,749.10/x
  3. Step 3: Cross multiply
    4,737.89x = 6,537.79 × 2,749.10
  4. Step 4: Simplify right side
    4,737.89x = 17,973,038.49
  5. Step 5: Solve for x
    x = 17,973,038.49/4,737.89
  6. Step 6: Final answer
    x = 3,793.47

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1.5x scale

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.