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Finding the Fourth Proportional to 5,780.66, 8,673.28 and 3,005.60

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Solution

The fourth proportional to 5,780.66, 8,673.28 and 3,005.60 is: 4,509.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.66 : 8,673.28 = 3,005.60 : x
  2. Step 2: Convert to fraction form
    5,780.66/8,673.28 = 3,005.60/x
  3. Step 3: Cross multiply
    5,780.66x = 8,673.28 × 3,005.60
  4. Step 4: Simplify right side
    5,780.66x = 26,068,410.37
  5. Step 5: Solve for x
    x = 26,068,410.37/5,780.66
  6. Step 6: Final answer
    x = 4,509.59

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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.