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Finding the Fourth Proportional to 4,014.18, 6,021.50 and 1,549

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Solution

The fourth proportional to 4,014.18, 6,021.50 and 1,549 is: 2,323.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014.18 : 6,021.50 = 1,549 : x
  2. Step 2: Convert to fraction form
    4,014.18/6,021.50 = 1,549/x
  3. Step 3: Cross multiply
    4,014.18x = 6,021.50 × 1,549
  4. Step 4: Simplify right side
    4,014.18x = 9,327,303.50
  5. Step 5: Solve for x
    x = 9,327,303.50/4,014.18
  6. Step 6: Final answer
    x = 2,323.59

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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.