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Finding the Fourth Proportional to 3,152.58, 4,729.31 and 1,397.45

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Solution

The fourth proportional to 3,152.58, 4,729.31 and 1,397.45 is: 2,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,152.58 : 4,729.31 = 1,397.45 : x
  2. Step 2: Convert to fraction form
    3,152.58/4,729.31 = 1,397.45/x
  3. Step 3: Cross multiply
    3,152.58x = 4,729.31 × 1,397.45
  4. Step 4: Simplify right side
    3,152.58x = 6,608,943.63
  5. Step 5: Solve for x
    x = 6,608,943.63/3,152.58
  6. Step 6: Final answer
    x = 2,096.36

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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.