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Finding the Fourth Proportional to 5,823.86, 8,728.51 and 4,586.39

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Solution

The fourth proportional to 5,823.86, 8,728.51 and 4,586.39 is: 6,873.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,823.86 : 8,728.51 = 4,586.39 : x
  2. Step 2: Convert to fraction form
    5,823.86/8,728.51 = 4,586.39/x
  3. Step 3: Cross multiply
    5,823.86x = 8,728.51 × 4,586.39
  4. Step 4: Simplify right side
    5,823.86x = 40,032,295.87
  5. Step 5: Solve for x
    x = 40,032,295.87/5,823.86
  6. Step 6: Final answer
    x = 6,873.84

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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.