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Finding the Fourth Proportional to 5,918.64, 8,877.96 and 2,025.78

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Solution

The fourth proportional to 5,918.64, 8,877.96 and 2,025.78 is: 3,038.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,918.64 : 8,877.96 = 2,025.78 : x
  2. Step 2: Convert to fraction form
    5,918.64/8,877.96 = 2,025.78/x
  3. Step 3: Cross multiply
    5,918.64x = 8,877.96 × 2,025.78
  4. Step 4: Simplify right side
    5,918.64x = 17,984,793.81
  5. Step 5: Solve for x
    x = 17,984,793.81/5,918.64
  6. Step 6: Final answer
    x = 3,038.67

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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.