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Finding the Fourth Proportional to 3,509.47, 5,264.61 and 1,288.45

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Solution

The fourth proportional to 3,509.47, 5,264.61 and 1,288.45 is: 1,932.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.47 : 5,264.61 = 1,288.45 : x
  2. Step 2: Convert to fraction form
    3,509.47/5,264.61 = 1,288.45/x
  3. Step 3: Cross multiply
    3,509.47x = 5,264.61 × 1,288.45
  4. Step 4: Simplify right side
    3,509.47x = 6,783,186.75
  5. Step 5: Solve for x
    x = 6,783,186.75/3,509.47
  6. Step 6: Final answer
    x = 1,932.82

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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.