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Finding the Fourth Proportional to 3,116.70, 4,673.72 and 1,036.14

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Solution

The fourth proportional to 3,116.70, 4,673.72 and 1,036.14 is: 1,553.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.70 : 4,673.72 = 1,036.14 : x
  2. Step 2: Convert to fraction form
    3,116.70/4,673.72 = 1,036.14/x
  3. Step 3: Cross multiply
    3,116.70x = 4,673.72 × 1,036.14
  4. Step 4: Simplify right side
    3,116.70x = 4,842,623.06
  5. Step 5: Solve for x
    x = 4,842,623.06/3,116.70
  6. Step 6: Final answer
    x = 1,553.77

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