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Finding the Fourth Proportional to 5,206.03, 7,808.08 and 1,698.52

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Solution

The fourth proportional to 5,206.03, 7,808.08 and 1,698.52 is: 2,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.03 : 7,808.08 = 1,698.52 : x
  2. Step 2: Convert to fraction form
    5,206.03/7,808.08 = 1,698.52/x
  3. Step 3: Cross multiply
    5,206.03x = 7,808.08 × 1,698.52
  4. Step 4: Simplify right side
    5,206.03x = 13,262,180.04
  5. Step 5: Solve for x
    x = 13,262,180.04/5,206.03
  6. Step 6: Final answer
    x = 2,547.47

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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.