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Finding the Fourth Proportional to 3,210.53, 4,429.85 and 1,952.24

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Solution

The fourth proportional to 3,210.53, 4,429.85 and 1,952.24 is: 2,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.53 : 4,429.85 = 1,952.24 : x
  2. Step 2: Convert to fraction form
    3,210.53/4,429.85 = 1,952.24/x
  3. Step 3: Cross multiply
    3,210.53x = 4,429.85 × 1,952.24
  4. Step 4: Simplify right side
    3,210.53x = 8,648,098.45
  5. Step 5: Solve for x
    x = 8,648,098.45/3,210.53
  6. Step 6: Final answer
    x = 2,693.67

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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.