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Finding the Fourth Proportional to 4,074.84, 6,098.40 and 3,154.50

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Solution

The fourth proportional to 4,074.84, 6,098.40 and 3,154.50 is: 4,721.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.84 : 6,098.40 = 3,154.50 : x
  2. Step 2: Convert to fraction form
    4,074.84/6,098.40 = 3,154.50/x
  3. Step 3: Cross multiply
    4,074.84x = 6,098.40 × 3,154.50
  4. Step 4: Simplify right side
    4,074.84x = 19,237,402.80
  5. Step 5: Solve for x
    x = 19,237,402.80/4,074.84
  6. Step 6: Final answer
    x = 4,721.02

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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.