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Finding the Fourth Proportional to 3,659.61, 5,048.64 and 2,166.51

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Solution

The fourth proportional to 3,659.61, 5,048.64 and 2,166.51 is: 2,988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659.61 : 5,048.64 = 2,166.51 : x
  2. Step 2: Convert to fraction form
    3,659.61/5,048.64 = 2,166.51/x
  3. Step 3: Cross multiply
    3,659.61x = 5,048.64 × 2,166.51
  4. Step 4: Simplify right side
    3,659.61x = 10,937,929.05
  5. Step 5: Solve for x
    x = 10,937,929.05/3,659.61
  6. Step 6: Final answer
    x = 2,988.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.