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Finding the Fourth Proportional to 4,005.99, 6,006.29 and 1,407.51

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Solution

The fourth proportional to 4,005.99, 6,006.29 and 1,407.51 is: 2,110.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,005.99 : 6,006.29 = 1,407.51 : x
  2. Step 2: Convert to fraction form
    4,005.99/6,006.29 = 1,407.51/x
  3. Step 3: Cross multiply
    4,005.99x = 6,006.29 × 1,407.51
  4. Step 4: Simplify right side
    4,005.99x = 8,453,906.20
  5. Step 5: Solve for x
    x = 8,453,906.20/4,005.99
  6. Step 6: Final answer
    x = 2,110.32

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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.