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Finding the Fourth Proportional to 3,356.65, 5,035.71 and 1,407.85

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Solution

The fourth proportional to 3,356.65, 5,035.71 and 1,407.85 is: 2,112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.65 : 5,035.71 = 1,407.85 : x
  2. Step 2: Convert to fraction form
    3,356.65/5,035.71 = 1,407.85/x
  3. Step 3: Cross multiply
    3,356.65x = 5,035.71 × 1,407.85
  4. Step 4: Simplify right side
    3,356.65x = 7,089,524.32
  5. Step 5: Solve for x
    x = 7,089,524.32/3,356.65
  6. Step 6: Final answer
    x = 2,112.08

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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.