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Finding the Fourth Proportional to 5,207.98, 7,813.20 and 1,698.01

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Solution

The fourth proportional to 5,207.98, 7,813.20 and 1,698.01 is: 2,547.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.98 : 7,813.20 = 1,698.01 : x
  2. Step 2: Convert to fraction form
    5,207.98/7,813.20 = 1,698.01/x
  3. Step 3: Cross multiply
    5,207.98x = 7,813.20 × 1,698.01
  4. Step 4: Simplify right side
    5,207.98x = 13,266,852.67
  5. Step 5: Solve for x
    x = 13,266,852.67/5,207.98
  6. Step 6: Final answer
    x = 2,547.41

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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.