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Finding the Fourth Proportional to 5,210.48, 7,811.44 and 2,435.78

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Solution

The fourth proportional to 5,210.48, 7,811.44 and 2,435.78 is: 3,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.48 : 7,811.44 = 2,435.78 : x
  2. Step 2: Convert to fraction form
    5,210.48/7,811.44 = 2,435.78/x
  3. Step 3: Cross multiply
    5,210.48x = 7,811.44 × 2,435.78
  4. Step 4: Simplify right side
    5,210.48x = 19,026,949.32
  5. Step 5: Solve for x
    x = 19,026,949.32/5,210.48
  6. Step 6: Final answer
    x = 3,651.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.