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Finding the Fourth Proportional to 3,197.09, 4,795.63 and 1,006.04

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Solution

The fourth proportional to 3,197.09, 4,795.63 and 1,006.04 is: 1,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.09 : 4,795.63 = 1,006.04 : x
  2. Step 2: Convert to fraction form
    3,197.09/4,795.63 = 1,006.04/x
  3. Step 3: Cross multiply
    3,197.09x = 4,795.63 × 1,006.04
  4. Step 4: Simplify right side
    3,197.09x = 4,824,569.11
  5. Step 5: Solve for x
    x = 4,824,569.11/3,197.09
  6. Step 6: Final answer
    x = 1,509.05

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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.