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Finding the Fourth Proportional to 3,386.29, 5,074.82 and 2,070.50

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Solution

The fourth proportional to 3,386.29, 5,074.82 and 2,070.50 is: 3,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.29 : 5,074.82 = 2,070.50 : x
  2. Step 2: Convert to fraction form
    3,386.29/5,074.82 = 2,070.50/x
  3. Step 3: Cross multiply
    3,386.29x = 5,074.82 × 2,070.50
  4. Step 4: Simplify right side
    3,386.29x = 10,507,404.46
  5. Step 5: Solve for x
    x = 10,507,404.46/3,386.29
  6. Step 6: Final answer
    x = 3,102.93

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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.