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Finding the Fourth Proportional to 3,162.72, 4,743.69 and 1,407.75

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Solution

The fourth proportional to 3,162.72, 4,743.69 and 1,407.75 is: 2,111.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.72 : 4,743.69 = 1,407.75 : x
  2. Step 2: Convert to fraction form
    3,162.72/4,743.69 = 1,407.75/x
  3. Step 3: Cross multiply
    3,162.72x = 4,743.69 × 1,407.75
  4. Step 4: Simplify right side
    3,162.72x = 6,677,929.60
  5. Step 5: Solve for x
    x = 6,677,929.60/3,162.72
  6. Step 6: Final answer
    x = 2,111.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.