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Finding the Fourth Proportional to 4,852.04, 7,280.22 and 2,543

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Solution

The fourth proportional to 4,852.04, 7,280.22 and 2,543 is: 3,815.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.04 : 7,280.22 = 2,543 : x
  2. Step 2: Convert to fraction form
    4,852.04/7,280.22 = 2,543/x
  3. Step 3: Cross multiply
    4,852.04x = 7,280.22 × 2,543
  4. Step 4: Simplify right side
    4,852.04x = 18,513,599.46
  5. Step 5: Solve for x
    x = 18,513,599.46/4,852.04
  6. Step 6: Final answer
    x = 3,815.63

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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.