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Finding the Fourth Proportional to 4,870.17, 7,291.08 and 3,820.41

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Solution

The fourth proportional to 4,870.17, 7,291.08 and 3,820.41 is: 5,719.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.17 : 7,291.08 = 3,820.41 : x
  2. Step 2: Convert to fraction form
    4,870.17/7,291.08 = 3,820.41/x
  3. Step 3: Cross multiply
    4,870.17x = 7,291.08 × 3,820.41
  4. Step 4: Simplify right side
    4,870.17x = 27,854,914.94
  5. Step 5: Solve for x
    x = 27,854,914.94/4,870.17
  6. Step 6: Final answer
    x = 5,719.50

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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.