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Finding the Fourth Proportional to 3,116.96, 4,674.40 and 1,036.56

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Solution

The fourth proportional to 3,116.96, 4,674.40 and 1,036.56 is: 1,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.96 : 4,674.40 = 1,036.56 : x
  2. Step 2: Convert to fraction form
    3,116.96/4,674.40 = 1,036.56/x
  3. Step 3: Cross multiply
    3,116.96x = 4,674.40 × 1,036.56
  4. Step 4: Simplify right side
    3,116.96x = 4,845,296.06
  5. Step 5: Solve for x
    x = 4,845,296.06/3,116.96
  6. Step 6: Final answer
    x = 1,554.49

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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.