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Finding the Fourth Proportional to 4,465.89, 6,659.48 and 4,154.22

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Solution

The fourth proportional to 4,465.89, 6,659.48 and 4,154.22 is: 6,194.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.89 : 6,659.48 = 4,154.22 : x
  2. Step 2: Convert to fraction form
    4,465.89/6,659.48 = 4,154.22/x
  3. Step 3: Cross multiply
    4,465.89x = 6,659.48 × 4,154.22
  4. Step 4: Simplify right side
    4,465.89x = 27,664,955.39
  5. Step 5: Solve for x
    x = 27,664,955.39/4,465.89
  6. Step 6: Final answer
    x = 6,194.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.