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Finding the Fourth Proportional to 5,846.26, 8,752.38 and 4,543.78

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Solution

The fourth proportional to 5,846.26, 8,752.38 and 4,543.78 is: 6,802.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.26 : 8,752.38 = 4,543.78 : x
  2. Step 2: Convert to fraction form
    5,846.26/8,752.38 = 4,543.78/x
  3. Step 3: Cross multiply
    5,846.26x = 8,752.38 × 4,543.78
  4. Step 4: Simplify right side
    5,846.26x = 39,768,889.20
  5. Step 5: Solve for x
    x = 39,768,889.20/5,846.26
  6. Step 6: Final answer
    x = 6,802.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.