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Finding the Fourth Proportional to 3,509.53, 5,263.62 and 1,289.72

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Solution

The fourth proportional to 3,509.53, 5,263.62 and 1,289.72 is: 1,934.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.53 : 5,263.62 = 1,289.72 : x
  2. Step 2: Convert to fraction form
    3,509.53/5,263.62 = 1,289.72/x
  3. Step 3: Cross multiply
    3,509.53x = 5,263.62 × 1,289.72
  4. Step 4: Simplify right side
    3,509.53x = 6,788,604.31
  5. Step 5: Solve for x
    x = 6,788,604.31/3,509.53
  6. Step 6: Final answer
    x = 1,934.34

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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.