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Finding the Fourth Proportional to 4,007.86, 6,010.71 and 1,409.38

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Solution

The fourth proportional to 4,007.86, 6,010.71 and 1,409.38 is: 2,113.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.86 : 6,010.71 = 1,409.38 : x
  2. Step 2: Convert to fraction form
    4,007.86/6,010.71 = 1,409.38/x
  3. Step 3: Cross multiply
    4,007.86x = 6,010.71 × 1,409.38
  4. Step 4: Simplify right side
    4,007.86x = 8,471,374.46
  5. Step 5: Solve for x
    x = 8,471,374.46/4,007.86
  6. Step 6: Final answer
    x = 2,113.69

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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.