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Finding the Fourth Proportional to 4,694.12, 7,042.36 and 1,407.20

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Solution

The fourth proportional to 4,694.12, 7,042.36 and 1,407.20 is: 2,111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.12 : 7,042.36 = 1,407.20 : x
  2. Step 2: Convert to fraction form
    4,694.12/7,042.36 = 1,407.20/x
  3. Step 3: Cross multiply
    4,694.12x = 7,042.36 × 1,407.20
  4. Step 4: Simplify right side
    4,694.12x = 9,910,008.99
  5. Step 5: Solve for x
    x = 9,910,008.99/4,694.12
  6. Step 6: Final answer
    x = 2,111.15

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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.