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Finding the Fourth Proportional to 4,969.55, 7,455.81 and 2,006.47

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Solution

The fourth proportional to 4,969.55, 7,455.81 and 2,006.47 is: 3,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,969.55 : 7,455.81 = 2,006.47 : x
  2. Step 2: Convert to fraction form
    4,969.55/7,455.81 = 2,006.47/x
  3. Step 3: Cross multiply
    4,969.55x = 7,455.81 × 2,006.47
  4. Step 4: Simplify right side
    4,969.55x = 14,959,821.81
  5. Step 5: Solve for x
    x = 14,959,821.81/4,969.55
  6. Step 6: Final answer
    x = 3,010.30

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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.