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Finding the Fourth Proportional to 5,114.63, 7,060.07 and 4,491.79

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Solution

The fourth proportional to 5,114.63, 7,060.07 and 4,491.79 is: 6,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.63 : 7,060.07 = 4,491.79 : x
  2. Step 2: Convert to fraction form
    5,114.63/7,060.07 = 4,491.79/x
  3. Step 3: Cross multiply
    5,114.63x = 7,060.07 × 4,491.79
  4. Step 4: Simplify right side
    5,114.63x = 31,712,351.83
  5. Step 5: Solve for x
    x = 31,712,351.83/5,114.63
  6. Step 6: Final answer
    x = 6,200.32

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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.