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Finding the Fourth Proportional to 5,784.23, 8,630.90 and 5,431.58

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Solution

The fourth proportional to 5,784.23, 8,630.90 and 5,431.58 is: 8,104.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.23 : 8,630.90 = 5,431.58 : x
  2. Step 2: Convert to fraction form
    5,784.23/8,630.90 = 5,431.58/x
  3. Step 3: Cross multiply
    5,784.23x = 8,630.90 × 5,431.58
  4. Step 4: Simplify right side
    5,784.23x = 46,879,353.51
  5. Step 5: Solve for x
    x = 46,879,353.51/5,784.23
  6. Step 6: Final answer
    x = 8,104.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.