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Finding the Fourth Proportional to 5,788.77, 8,683.14 and 1,406.19

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Solution

The fourth proportional to 5,788.77, 8,683.14 and 1,406.19 is: 2,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.77 : 8,683.14 = 1,406.19 : x
  2. Step 2: Convert to fraction form
    5,788.77/8,683.14 = 1,406.19/x
  3. Step 3: Cross multiply
    5,788.77x = 8,683.14 × 1,406.19
  4. Step 4: Simplify right side
    5,788.77x = 12,210,182.47
  5. Step 5: Solve for x
    x = 12,210,182.47/5,788.77
  6. Step 6: Final answer
    x = 2,109.29

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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.