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Finding the Fourth Proportional to 2,917.26, 4,354.74 and 2,509.02

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Solution

The fourth proportional to 2,917.26, 4,354.74 and 2,509.02 is: 3,745.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,917.26 : 4,354.74 = 2,509.02 : x
  2. Step 2: Convert to fraction form
    2,917.26/4,354.74 = 2,509.02/x
  3. Step 3: Cross multiply
    2,917.26x = 4,354.74 × 2,509.02
  4. Step 4: Simplify right side
    2,917.26x = 10,926,129.75
  5. Step 5: Solve for x
    x = 10,926,129.75/2,917.26
  6. Step 6: Final answer
    x = 3,745.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.