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Finding the Fourth Proportional to 3,501.71, 5,252.56 and 1,036.33

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Solution

The fourth proportional to 3,501.71, 5,252.56 and 1,036.33 is: 1,554.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,501.71 : 5,252.56 = 1,036.33 : x
  2. Step 2: Convert to fraction form
    3,501.71/5,252.56 = 1,036.33/x
  3. Step 3: Cross multiply
    3,501.71x = 5,252.56 × 1,036.33
  4. Step 4: Simplify right side
    3,501.71x = 5,443,399.33
  5. Step 5: Solve for x
    x = 5,443,399.33/3,501.71
  6. Step 6: Final answer
    x = 1,554.50

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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.