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Finding the Fourth Proportional to 4,242.94, 6,370.92 and 4,055.76

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Solution

The fourth proportional to 4,242.94, 6,370.92 and 4,055.76 is: 6,089.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,242.94 : 6,370.92 = 4,055.76 : x
  2. Step 2: Convert to fraction form
    4,242.94/6,370.92 = 4,055.76/x
  3. Step 3: Cross multiply
    4,242.94x = 6,370.92 × 4,055.76
  4. Step 4: Simplify right side
    4,242.94x = 25,838,922.50
  5. Step 5: Solve for x
    x = 25,838,922.50/4,242.94
  6. Step 6: Final answer
    x = 6,089.87

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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.