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Finding the Fourth Proportional to 6,525.71, 9,005.48 and 3,541.52

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Solution

The fourth proportional to 6,525.71, 9,005.48 and 3,541.52 is: 4,887.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.71 : 9,005.48 = 3,541.52 : x
  2. Step 2: Convert to fraction form
    6,525.71/9,005.48 = 3,541.52/x
  3. Step 3: Cross multiply
    6,525.71x = 9,005.48 × 3,541.52
  4. Step 4: Simplify right side
    6,525.71x = 31,893,105.62
  5. Step 5: Solve for x
    x = 31,893,105.62/6,525.71
  6. Step 6: Final answer
    x = 4,887.30

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Why These Related Problems?

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