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Finding the Fourth Proportional to 5,877.60, 8,111.02 and 3,225

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Solution

The fourth proportional to 5,877.60, 8,111.02 and 3,225 is: 4,450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.60 : 8,111.02 = 3,225 : x
  2. Step 2: Convert to fraction form
    5,877.60/8,111.02 = 3,225/x
  3. Step 3: Cross multiply
    5,877.60x = 8,111.02 × 3,225
  4. Step 4: Simplify right side
    5,877.60x = 26,158,039.50
  5. Step 5: Solve for x
    x = 26,158,039.50/5,877.60
  6. Step 6: Final answer
    x = 4,450.46

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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.