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Finding the Fourth Proportional to 5,210.80, 7,816.23 and 1,748.05

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Solution

The fourth proportional to 5,210.80, 7,816.23 and 1,748.05 is: 2,622.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.80 : 7,816.23 = 1,748.05 : x
  2. Step 2: Convert to fraction form
    5,210.80/7,816.23 = 1,748.05/x
  3. Step 3: Cross multiply
    5,210.80x = 7,816.23 × 1,748.05
  4. Step 4: Simplify right side
    5,210.80x = 13,663,141.31
  5. Step 5: Solve for x
    x = 13,663,141.31/5,210.80
  6. Step 6: Final answer
    x = 2,622.08

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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.