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Finding the Fourth Proportional to 3,356.49, 5,035.46 and 1,407.57

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Solution

The fourth proportional to 3,356.49, 5,035.46 and 1,407.57 is: 2,111.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.49 : 5,035.46 = 1,407.57 : x
  2. Step 2: Convert to fraction form
    3,356.49/5,035.46 = 1,407.57/x
  3. Step 3: Cross multiply
    3,356.49x = 5,035.46 × 1,407.57
  4. Step 4: Simplify right side
    3,356.49x = 7,087,755.39
  5. Step 5: Solve for x
    x = 7,087,755.39/3,356.49
  6. Step 6: Final answer
    x = 2,111.66

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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.