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Finding the Fourth Proportional to 3,543.34, 5,307.72 and 2,846.20

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Solution

The fourth proportional to 3,543.34, 5,307.72 and 2,846.20 is: 4,263.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,543.34 : 5,307.72 = 2,846.20 : x
  2. Step 2: Convert to fraction form
    3,543.34/5,307.72 = 2,846.20/x
  3. Step 3: Cross multiply
    3,543.34x = 5,307.72 × 2,846.20
  4. Step 4: Simplify right side
    3,543.34x = 15,106,832.66
  5. Step 5: Solve for x
    x = 15,106,832.66/3,543.34
  6. Step 6: Final answer
    x = 4,263.44

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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.