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Finding the Fourth Proportional to 4,694.58, 7,042.79 and 1,407.40

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Solution

The fourth proportional to 4,694.58, 7,042.79 and 1,407.40 is: 2,111.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,694.58 : 7,042.79 = 1,407.40 : x
  2. Step 2: Convert to fraction form
    4,694.58/7,042.79 = 1,407.40/x
  3. Step 3: Cross multiply
    4,694.58x = 7,042.79 × 1,407.40
  4. Step 4: Simplify right side
    4,694.58x = 9,912,018.47
  5. Step 5: Solve for x
    x = 9,912,018.47/4,694.58
  6. Step 6: Final answer
    x = 2,111.37

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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.