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Finding the Fourth Proportional to 5,208.75, 7,813.94 and 1,697.93

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Solution

The fourth proportional to 5,208.75, 7,813.94 and 1,697.93 is: 2,547.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,208.75 : 7,813.94 = 1,697.93 : x
  2. Step 2: Convert to fraction form
    5,208.75/7,813.94 = 1,697.93/x
  3. Step 3: Cross multiply
    5,208.75x = 7,813.94 × 1,697.93
  4. Step 4: Simplify right side
    5,208.75x = 13,267,523.14
  5. Step 5: Solve for x
    x = 13,267,523.14/5,208.75
  6. Step 6: Final answer
    x = 2,547.16

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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.