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Finding the Fourth Proportional to 5,788.99, 8,683.41 and 1,406.45

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Solution

The fourth proportional to 5,788.99, 8,683.41 and 1,406.45 is: 2,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.99 : 8,683.41 = 1,406.45 : x
  2. Step 2: Convert to fraction form
    5,788.99/8,683.41 = 1,406.45/x
  3. Step 3: Cross multiply
    5,788.99x = 8,683.41 × 1,406.45
  4. Step 4: Simplify right side
    5,788.99x = 12,212,808.98
  5. Step 5: Solve for x
    x = 12,212,808.98/5,788.99
  6. Step 6: Final answer
    x = 2,109.66

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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.