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Finding the Fourth Proportional to 5,788.02, 8,682 and 1,405.44

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Solution

The fourth proportional to 5,788.02, 8,682 and 1,405.44 is: 2,108.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.02 : 8,682 = 1,405.44 : x
  2. Step 2: Convert to fraction form
    5,788.02/8,682 = 1,405.44/x
  3. Step 3: Cross multiply
    5,788.02x = 8,682 × 1,405.44
  4. Step 4: Simplify right side
    5,788.02x = 12,202,030.08
  5. Step 5: Solve for x
    x = 12,202,030.08/5,788.02
  6. Step 6: Final answer
    x = 2,108.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.