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Finding the Fourth Proportional to 4,161.64, 5,742.72 and 2,567.84

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Solution

The fourth proportional to 4,161.64, 5,742.72 and 2,567.84 is: 3,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.64 : 5,742.72 = 2,567.84 : x
  2. Step 2: Convert to fraction form
    4,161.64/5,742.72 = 2,567.84/x
  3. Step 3: Cross multiply
    4,161.64x = 5,742.72 × 2,567.84
  4. Step 4: Simplify right side
    4,161.64x = 14,746,386.12
  5. Step 5: Solve for x
    x = 14,746,386.12/4,161.64
  6. Step 6: Final answer
    x = 3,543.41

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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.