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Finding the Fourth Proportional to 3,314.36, 4,571.90 and 2,070.20

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Solution

The fourth proportional to 3,314.36, 4,571.90 and 2,070.20 is: 2,855.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.36 : 4,571.90 = 2,070.20 : x
  2. Step 2: Convert to fraction form
    3,314.36/4,571.90 = 2,070.20/x
  3. Step 3: Cross multiply
    3,314.36x = 4,571.90 × 2,070.20
  4. Step 4: Simplify right side
    3,314.36x = 9,464,714.17
  5. Step 5: Solve for x
    x = 9,464,714.17/3,314.36
  6. Step 6: Final answer
    x = 2,855.67

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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.