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Finding the Fourth Proportional to 5,007.78, 7,509.96 and 2,084.58

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Solution

The fourth proportional to 5,007.78, 7,509.96 and 2,084.58 is: 3,126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,007.78 : 7,509.96 = 2,084.58 : x
  2. Step 2: Convert to fraction form
    5,007.78/7,509.96 = 2,084.58/x
  3. Step 3: Cross multiply
    5,007.78x = 7,509.96 × 2,084.58
  4. Step 4: Simplify right side
    5,007.78x = 15,655,112.42
  5. Step 5: Solve for x
    x = 15,655,112.42/5,007.78
  6. Step 6: Final answer
    x = 3,126.16

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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.