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Finding the Fourth Proportional to 4,907.47, 7,364.31 and 4,446.19

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Solution

The fourth proportional to 4,907.47, 7,364.31 and 4,446.19 is: 6,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.47 : 7,364.31 = 4,446.19 : x
  2. Step 2: Convert to fraction form
    4,907.47/7,364.31 = 4,446.19/x
  3. Step 3: Cross multiply
    4,907.47x = 7,364.31 × 4,446.19
  4. Step 4: Simplify right side
    4,907.47x = 32,743,121.48
  5. Step 5: Solve for x
    x = 32,743,121.48/4,907.47
  6. Step 6: Final answer
    x = 6,672.10

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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.