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Finding the Fourth Proportional to 2,606.52, 3,912.53 and 2,547.75

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Solution

The fourth proportional to 2,606.52, 3,912.53 and 2,547.75 is: 3,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.52 : 3,912.53 = 2,547.75 : x
  2. Step 2: Convert to fraction form
    2,606.52/3,912.53 = 2,547.75/x
  3. Step 3: Cross multiply
    2,606.52x = 3,912.53 × 2,547.75
  4. Step 4: Simplify right side
    2,606.52x = 9,968,148.31
  5. Step 5: Solve for x
    x = 9,968,148.31/2,606.52
  6. Step 6: Final answer
    x = 3,824.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.