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Finding the Fourth Proportional to 5,009.64, 7,509.20 and 2,237.60

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Solution

The fourth proportional to 5,009.64, 7,509.20 and 2,237.60 is: 3,354.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,009.64 : 7,509.20 = 2,237.60 : x
  2. Step 2: Convert to fraction form
    5,009.64/7,509.20 = 2,237.60/x
  3. Step 3: Cross multiply
    5,009.64x = 7,509.20 × 2,237.60
  4. Step 4: Simplify right side
    5,009.64x = 16,802,585.92
  5. Step 5: Solve for x
    x = 16,802,585.92/5,009.64
  6. Step 6: Final answer
    x = 3,354.05

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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.