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Finding the Fourth Proportional to 5,406.75, 7,461.32 and 3,048.84

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Solution

The fourth proportional to 5,406.75, 7,461.32 and 3,048.84 is: 4,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,406.75 : 7,461.32 = 3,048.84 : x
  2. Step 2: Convert to fraction form
    5,406.75/7,461.32 = 3,048.84/x
  3. Step 3: Cross multiply
    5,406.75x = 7,461.32 × 3,048.84
  4. Step 4: Simplify right side
    5,406.75x = 22,748,355.62
  5. Step 5: Solve for x
    x = 22,748,355.62/5,406.75
  6. Step 6: Final answer
    x = 4,207.40

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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.