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Finding the Fourth Proportional to 3,547.50, 4,896.77 and 2,150.25

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Solution

The fourth proportional to 3,547.50, 4,896.77 and 2,150.25 is: 2,968.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.50 : 4,896.77 = 2,150.25 : x
  2. Step 2: Convert to fraction form
    3,547.50/4,896.77 = 2,150.25/x
  3. Step 3: Cross multiply
    3,547.50x = 4,896.77 × 2,150.25
  4. Step 4: Simplify right side
    3,547.50x = 10,529,268.94
  5. Step 5: Solve for x
    x = 10,529,268.94/3,547.50
  6. Step 6: Final answer
    x = 2,968.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.