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Finding the Fourth Proportional to 4,668.35, 6,433.46 and 3,339.74

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Solution

The fourth proportional to 4,668.35, 6,433.46 and 3,339.74 is: 4,602.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.35 : 6,433.46 = 3,339.74 : x
  2. Step 2: Convert to fraction form
    4,668.35/6,433.46 = 3,339.74/x
  3. Step 3: Cross multiply
    4,668.35x = 6,433.46 × 3,339.74
  4. Step 4: Simplify right side
    4,668.35x = 21,486,095.61
  5. Step 5: Solve for x
    x = 21,486,095.61/4,668.35
  6. Step 6: Final answer
    x = 4,602.51

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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.