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Finding the Fourth Proportional to 4,644.40, 6,967.60 and 1,357.24

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Solution

The fourth proportional to 4,644.40, 6,967.60 and 1,357.24 is: 2,036.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.40 : 6,967.60 = 1,357.24 : x
  2. Step 2: Convert to fraction form
    4,644.40/6,967.60 = 1,357.24/x
  3. Step 3: Cross multiply
    4,644.40x = 6,967.60 × 1,357.24
  4. Step 4: Simplify right side
    4,644.40x = 9,456,705.42
  5. Step 5: Solve for x
    x = 9,456,705.42/4,644.40
  6. Step 6: Final answer
    x = 2,036.15

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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.