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Finding the Fourth Proportional to 3,328.47, 4,995.77 and 1,686.16

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Solution

The fourth proportional to 3,328.47, 4,995.77 and 1,686.16 is: 2,530.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,328.47 : 4,995.77 = 1,686.16 : x
  2. Step 2: Convert to fraction form
    3,328.47/4,995.77 = 1,686.16/x
  3. Step 3: Cross multiply
    3,328.47x = 4,995.77 × 1,686.16
  4. Step 4: Simplify right side
    3,328.47x = 8,423,667.54
  5. Step 5: Solve for x
    x = 8,423,667.54/3,328.47
  6. Step 6: Final answer
    x = 2,530.79

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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.