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Finding the Fourth Proportional to 3,356.62, 5,029.79 and 1,407.76

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Solution

The fourth proportional to 3,356.62, 5,029.79 and 1,407.76 is: 2,109.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.62 : 5,029.79 = 1,407.76 : x
  2. Step 2: Convert to fraction form
    3,356.62/5,029.79 = 1,407.76/x
  3. Step 3: Cross multiply
    3,356.62x = 5,029.79 × 1,407.76
  4. Step 4: Simplify right side
    3,356.62x = 7,080,712.02
  5. Step 5: Solve for x
    x = 7,080,712.02/3,356.62
  6. Step 6: Final answer
    x = 2,109.48

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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.