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Finding the Fourth Proportional to 5,788.58, 8,682.84 and 1,406.06

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Solution

The fourth proportional to 5,788.58, 8,682.84 and 1,406.06 is: 2,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.58 : 8,682.84 = 1,406.06 : x
  2. Step 2: Convert to fraction form
    5,788.58/8,682.84 = 1,406.06/x
  3. Step 3: Cross multiply
    5,788.58x = 8,682.84 × 1,406.06
  4. Step 4: Simplify right side
    5,788.58x = 12,208,594.01
  5. Step 5: Solve for x
    x = 12,208,594.01/5,788.58
  6. Step 6: Final answer
    x = 2,109.08

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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.