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Finding the Fourth Proportional to 5,794.50, 8,030.08 and 5,683.74

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Solution

The fourth proportional to 5,794.50, 8,030.08 and 5,683.74 is: 7,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.50 : 8,030.08 = 5,683.74 : x
  2. Step 2: Convert to fraction form
    5,794.50/8,030.08 = 5,683.74/x
  3. Step 3: Cross multiply
    5,794.50x = 8,030.08 × 5,683.74
  4. Step 4: Simplify right side
    5,794.50x = 45,640,847.91
  5. Step 5: Solve for x
    x = 45,640,847.91/5,794.50
  6. Step 6: Final answer
    x = 7,876.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.