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Finding the Fourth Proportional to 5,405.91, 7,460.12 and 3,048.02

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Solution

The fourth proportional to 5,405.91, 7,460.12 and 3,048.02 is: 4,206.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.91 : 7,460.12 = 3,048.02 : x
  2. Step 2: Convert to fraction form
    5,405.91/7,460.12 = 3,048.02/x
  3. Step 3: Cross multiply
    5,405.91x = 7,460.12 × 3,048.02
  4. Step 4: Simplify right side
    5,405.91x = 22,738,542.42
  5. Step 5: Solve for x
    x = 22,738,542.42/5,405.91
  6. Step 6: Final answer
    x = 4,206.24

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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.