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Finding the Fourth Proportional to 5,680.47, 8,521.08 and 1,785.03

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Solution

The fourth proportional to 5,680.47, 8,521.08 and 1,785.03 is: 2,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.47 : 8,521.08 = 1,785.03 : x
  2. Step 2: Convert to fraction form
    5,680.47/8,521.08 = 1,785.03/x
  3. Step 3: Cross multiply
    5,680.47x = 8,521.08 × 1,785.03
  4. Step 4: Simplify right side
    5,680.47x = 15,210,383.43
  5. Step 5: Solve for x
    x = 15,210,383.43/5,680.47
  6. Step 6: Final answer
    x = 2,677.66

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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.