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Finding the Fourth Proportional to 4,593, 6,889.50 and 2,541

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Solution

The fourth proportional to 4,593, 6,889.50 and 2,541 is: 3,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,593 : 6,889.50 = 2,541 : x
  2. Step 2: Convert to fraction form
    4,593/6,889.50 = 2,541/x
  3. Step 3: Cross multiply
    4,593x = 6,889.50 × 2,541
  4. Step 4: Simplify right side
    4,593x = 17,506,219.50
  5. Step 5: Solve for x
    x = 17,506,219.50/4,593
  6. Step 6: Final answer
    x = 3,811.50

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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.