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Finding the Fourth Proportional to 3,009.35, 4,513.79 and 929.27

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Solution

The fourth proportional to 3,009.35, 4,513.79 and 929.27 is: 1,393.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,009.35 : 4,513.79 = 929.27 : x
  2. Step 2: Convert to fraction form
    3,009.35/4,513.79 = 929.27/x
  3. Step 3: Cross multiply
    3,009.35x = 4,513.79 × 929.27
  4. Step 4: Simplify right side
    3,009.35x = 4,194,543.24
  5. Step 5: Solve for x
    x = 4,194,543.24/3,009.35
  6. Step 6: Final answer
    x = 1,393.84

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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.