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Finding the Fourth Proportional to 4,272.22, 6,407.50 and 1,349.74

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Solution

The fourth proportional to 4,272.22, 6,407.50 and 1,349.74 is: 2,024.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.22 : 6,407.50 = 1,349.74 : x
  2. Step 2: Convert to fraction form
    4,272.22/6,407.50 = 1,349.74/x
  3. Step 3: Cross multiply
    4,272.22x = 6,407.50 × 1,349.74
  4. Step 4: Simplify right side
    4,272.22x = 8,648,459.05
  5. Step 5: Solve for x
    x = 8,648,459.05/4,272.22
  6. Step 6: Final answer
    x = 2,024.35

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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.