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Finding the Fourth Proportional to 5,852.64, 8,780.33 and 4,004.62

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Solution

The fourth proportional to 5,852.64, 8,780.33 and 4,004.62 is: 6,007.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,852.64 : 8,780.33 = 4,004.62 : x
  2. Step 2: Convert to fraction form
    5,852.64/8,780.33 = 4,004.62/x
  3. Step 3: Cross multiply
    5,852.64x = 8,780.33 × 4,004.62
  4. Step 4: Simplify right side
    5,852.64x = 35,161,865.10
  5. Step 5: Solve for x
    x = 35,161,865.10/5,852.64
  6. Step 6: Final answer
    x = 6,007.87

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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.