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Finding the Fourth Proportional to 3,108.64, 4,663.60 and 917.16

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Solution

The fourth proportional to 3,108.64, 4,663.60 and 917.16 is: 1,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.64 : 4,663.60 = 917.16 : x
  2. Step 2: Convert to fraction form
    3,108.64/4,663.60 = 917.16/x
  3. Step 3: Cross multiply
    3,108.64x = 4,663.60 × 917.16
  4. Step 4: Simplify right side
    3,108.64x = 4,277,267.38
  5. Step 5: Solve for x
    x = 4,277,267.38/3,108.64
  6. Step 6: Final answer
    x = 1,375.93

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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.