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Finding the Fourth Proportional to 3,109.37, 4,663.54 and 917.58

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Solution

The fourth proportional to 3,109.37, 4,663.54 and 917.58 is: 1,376.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.37 : 4,663.54 = 917.58 : x
  2. Step 2: Convert to fraction form
    3,109.37/4,663.54 = 917.58/x
  3. Step 3: Cross multiply
    3,109.37x = 4,663.54 × 917.58
  4. Step 4: Simplify right side
    3,109.37x = 4,279,168.74
  5. Step 5: Solve for x
    x = 4,279,168.74/3,109.37
  6. Step 6: Final answer
    x = 1,376.22

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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.