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Finding the Fourth Proportional to 5,210.06, 7,813.69 and 2,435.29

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Solution

The fourth proportional to 5,210.06, 7,813.69 and 2,435.29 is: 3,652.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.06 : 7,813.69 = 2,435.29 : x
  2. Step 2: Convert to fraction form
    5,210.06/7,813.69 = 2,435.29/x
  3. Step 3: Cross multiply
    5,210.06x = 7,813.69 × 2,435.29
  4. Step 4: Simplify right side
    5,210.06x = 19,028,575.50
  5. Step 5: Solve for x
    x = 19,028,575.50/5,210.06
  6. Step 6: Final answer
    x = 3,652.28

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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.