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Finding the Fourth Proportional to 6,152.90, 9,214.95 and 3,820.10

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Solution

The fourth proportional to 6,152.90, 9,214.95 and 3,820.10 is: 5,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.90 : 9,214.95 = 3,820.10 : x
  2. Step 2: Convert to fraction form
    6,152.90/9,214.95 = 3,820.10/x
  3. Step 3: Cross multiply
    6,152.90x = 9,214.95 × 3,820.10
  4. Step 4: Simplify right side
    6,152.90x = 35,202,030.50
  5. Step 5: Solve for x
    x = 35,202,030.50/6,152.90
  6. Step 6: Final answer
    x = 5,721.21

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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.