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Finding the Fourth Proportional to 4,330.22, 6,493.96 and 1,407.84

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Solution

The fourth proportional to 4,330.22, 6,493.96 and 1,407.84 is: 2,111.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,330.22 : 6,493.96 = 1,407.84 : x
  2. Step 2: Convert to fraction form
    4,330.22/6,493.96 = 1,407.84/x
  3. Step 3: Cross multiply
    4,330.22x = 6,493.96 × 1,407.84
  4. Step 4: Simplify right side
    4,330.22x = 9,142,456.65
  5. Step 5: Solve for x
    x = 9,142,456.65/4,330.22
  6. Step 6: Final answer
    x = 2,111.31

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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.