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Finding the Fourth Proportional to 4,852.54, 7,280.98 and 2,543.50

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Solution

The fourth proportional to 4,852.54, 7,280.98 and 2,543.50 is: 3,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.54 : 7,280.98 = 2,543.50 : x
  2. Step 2: Convert to fraction form
    4,852.54/7,280.98 = 2,543.50/x
  3. Step 3: Cross multiply
    4,852.54x = 7,280.98 × 2,543.50
  4. Step 4: Simplify right side
    4,852.54x = 18,519,172.63
  5. Step 5: Solve for x
    x = 18,519,172.63/4,852.54
  6. Step 6: Final answer
    x = 3,816.39

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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.