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Finding the Fourth Proportional to 5,729.41, 8,595.47 and 1,780.47

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Solution

The fourth proportional to 5,729.41, 8,595.47 and 1,780.47 is: 2,671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729.41 : 8,595.47 = 1,780.47 : x
  2. Step 2: Convert to fraction form
    5,729.41/8,595.47 = 1,780.47/x
  3. Step 3: Cross multiply
    5,729.41x = 8,595.47 × 1,780.47
  4. Step 4: Simplify right side
    5,729.41x = 15,303,976.47
  5. Step 5: Solve for x
    x = 15,303,976.47/5,729.41
  6. Step 6: Final answer
    x = 2,671.13

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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.