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Finding the Fourth Proportional to 5,883.89, 8,113.23 and 5,747.81

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Solution

The fourth proportional to 5,883.89, 8,113.23 and 5,747.81 is: 7,925.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,883.89 : 8,113.23 = 5,747.81 : x
  2. Step 2: Convert to fraction form
    5,883.89/8,113.23 = 5,747.81/x
  3. Step 3: Cross multiply
    5,883.89x = 8,113.23 × 5,747.81
  4. Step 4: Simplify right side
    5,883.89x = 46,633,263.96
  5. Step 5: Solve for x
    x = 46,633,263.96/5,883.89
  6. Step 6: Final answer
    x = 7,925.59

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.