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Finding the Fourth Proportional to 4,157.70, 5,737.73 and 2,365.47

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Solution

The fourth proportional to 4,157.70, 5,737.73 and 2,365.47 is: 3,264.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.70 : 5,737.73 = 2,365.47 : x
  2. Step 2: Convert to fraction form
    4,157.70/5,737.73 = 2,365.47/x
  3. Step 3: Cross multiply
    4,157.70x = 5,737.73 × 2,365.47
  4. Step 4: Simplify right side
    4,157.70x = 13,572,416.36
  5. Step 5: Solve for x
    x = 13,572,416.36/4,157.70
  6. Step 6: Final answer
    x = 3,264.40

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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.