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Finding the Fourth Proportional to 5,788.79, 8,683.07 and 1,406.27

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Solution

The fourth proportional to 5,788.79, 8,683.07 and 1,406.27 is: 2,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,788.79 : 8,683.07 = 1,406.27 : x
  2. Step 2: Convert to fraction form
    5,788.79/8,683.07 = 1,406.27/x
  3. Step 3: Cross multiply
    5,788.79x = 8,683.07 × 1,406.27
  4. Step 4: Simplify right side
    5,788.79x = 12,210,733.82
  5. Step 5: Solve for x
    x = 12,210,733.82/5,788.79
  6. Step 6: Final answer
    x = 2,109.38

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1.5x scale

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.