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Finding the Fourth Proportional to 5,817.20, 8,021.76 and 4,556

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Solution

The fourth proportional to 5,817.20, 8,021.76 and 4,556 is: 6,282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.20 : 8,021.76 = 4,556 : x
  2. Step 2: Convert to fraction form
    5,817.20/8,021.76 = 4,556/x
  3. Step 3: Cross multiply
    5,817.20x = 8,021.76 × 4,556
  4. Step 4: Simplify right side
    5,817.20x = 36,547,138.56
  5. Step 5: Solve for x
    x = 36,547,138.56/5,817.20
  6. Step 6: Final answer
    x = 6,282.60

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