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Finding the Fourth Proportional to 4,741.68, 7,106.97 and 3,567.91

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Solution

The fourth proportional to 4,741.68, 7,106.97 and 3,567.91 is: 5,347.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.68 : 7,106.97 = 3,567.91 : x
  2. Step 2: Convert to fraction form
    4,741.68/7,106.97 = 3,567.91/x
  3. Step 3: Cross multiply
    4,741.68x = 7,106.97 × 3,567.91
  4. Step 4: Simplify right side
    4,741.68x = 25,357,058.26
  5. Step 5: Solve for x
    x = 25,357,058.26/4,741.68
  6. Step 6: Final answer
    x = 5,347.70

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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.