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Finding the Fourth Proportional to 3,486.70, 4,811.34 and 2,070.28

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Solution

The fourth proportional to 3,486.70, 4,811.34 and 2,070.28 is: 2,856.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.70 : 4,811.34 = 2,070.28 : x
  2. Step 2: Convert to fraction form
    3,486.70/4,811.34 = 2,070.28/x
  3. Step 3: Cross multiply
    3,486.70x = 4,811.34 × 2,070.28
  4. Step 4: Simplify right side
    3,486.70x = 9,960,820.98
  5. Step 5: Solve for x
    x = 9,960,820.98/3,486.70
  6. Step 6: Final answer
    x = 2,856.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.