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Finding the Fourth Proportional to 4,338.41, 6,503.29 and 1,743.17

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Solution

The fourth proportional to 4,338.41, 6,503.29 and 1,743.17 is: 2,613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,338.41 : 6,503.29 = 1,743.17 : x
  2. Step 2: Convert to fraction form
    4,338.41/6,503.29 = 1,743.17/x
  3. Step 3: Cross multiply
    4,338.41x = 6,503.29 × 1,743.17
  4. Step 4: Simplify right side
    4,338.41x = 11,336,303.15
  5. Step 5: Solve for x
    x = 11,336,303.15/4,338.41
  6. Step 6: Final answer
    x = 2,613.01

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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.