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Finding the Fourth Proportional to 5,210.73, 7,816.91 and 1,699.93

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Solution

The fourth proportional to 5,210.73, 7,816.91 and 1,699.93 is: 2,550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.73 : 7,816.91 = 1,699.93 : x
  2. Step 2: Convert to fraction form
    5,210.73/7,816.91 = 1,699.93/x
  3. Step 3: Cross multiply
    5,210.73x = 7,816.91 × 1,699.93
  4. Step 4: Simplify right side
    5,210.73x = 13,288,184.52
  5. Step 5: Solve for x
    x = 13,288,184.52/5,210.73
  6. Step 6: Final answer
    x = 2,550.16

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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.