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Finding the Fourth Proportional to 3,710.22, 5,564.73 and 1,112.70

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Solution

The fourth proportional to 3,710.22, 5,564.73 and 1,112.70 is: 1,668.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.22 : 5,564.73 = 1,112.70 : x
  2. Step 2: Convert to fraction form
    3,710.22/5,564.73 = 1,112.70/x
  3. Step 3: Cross multiply
    3,710.22x = 5,564.73 × 1,112.70
  4. Step 4: Simplify right side
    3,710.22x = 6,191,875.07
  5. Step 5: Solve for x
    x = 6,191,875.07/3,710.22
  6. Step 6: Final answer
    x = 1,668.87

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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.