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Finding the Fourth Proportional to 4,157.93, 5,737.80 and 2,478.47

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Solution

The fourth proportional to 4,157.93, 5,737.80 and 2,478.47 is: 3,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.93 : 5,737.80 = 2,478.47 : x
  2. Step 2: Convert to fraction form
    4,157.93/5,737.80 = 2,478.47/x
  3. Step 3: Cross multiply
    4,157.93x = 5,737.80 × 2,478.47
  4. Step 4: Simplify right side
    4,157.93x = 14,220,950.25
  5. Step 5: Solve for x
    x = 14,220,950.25/4,157.93
  6. Step 6: Final answer
    x = 3,420.20

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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.