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Finding the Fourth Proportional to 5,293.02, 7,941.30 and 2,007

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Solution

The fourth proportional to 5,293.02, 7,941.30 and 2,007 is: 3,011.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.02 : 7,941.30 = 2,007 : x
  2. Step 2: Convert to fraction form
    5,293.02/7,941.30 = 2,007/x
  3. Step 3: Cross multiply
    5,293.02x = 7,941.30 × 2,007
  4. Step 4: Simplify right side
    5,293.02x = 15,938,189.10
  5. Step 5: Solve for x
    x = 15,938,189.10/5,293.02
  6. Step 6: Final answer
    x = 3,011.17

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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.