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Finding the Fourth Proportional to 3,225.50, 4,830.93 and 2,642.30

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Solution

The fourth proportional to 3,225.50, 4,830.93 and 2,642.30 is: 3,957.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.50 : 4,830.93 = 2,642.30 : x
  2. Step 2: Convert to fraction form
    3,225.50/4,830.93 = 2,642.30/x
  3. Step 3: Cross multiply
    3,225.50x = 4,830.93 × 2,642.30
  4. Step 4: Simplify right side
    3,225.50x = 12,764,766.34
  5. Step 5: Solve for x
    x = 12,764,766.34/3,225.50
  6. Step 6: Final answer
    x = 3,957.45

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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.