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Finding the Fourth Proportional to 4,644.48, 6,967.38 and 1,357.86

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Solution

The fourth proportional to 4,644.48, 6,967.38 and 1,357.86 is: 2,036.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.48 : 6,967.38 = 1,357.86 : x
  2. Step 2: Convert to fraction form
    4,644.48/6,967.38 = 1,357.86/x
  3. Step 3: Cross multiply
    4,644.48x = 6,967.38 × 1,357.86
  4. Step 4: Simplify right side
    4,644.48x = 9,460,726.61
  5. Step 5: Solve for x
    x = 9,460,726.61/4,644.48
  6. Step 6: Final answer
    x = 2,036.98

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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.