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Finding the Fourth Proportional to 5,802.24, 8,704.80 and 1,698.24

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Solution

The fourth proportional to 5,802.24, 8,704.80 and 1,698.24 is: 2,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.24 : 8,704.80 = 1,698.24 : x
  2. Step 2: Convert to fraction form
    5,802.24/8,704.80 = 1,698.24/x
  3. Step 3: Cross multiply
    5,802.24x = 8,704.80 × 1,698.24
  4. Step 4: Simplify right side
    5,802.24x = 14,782,839.55
  5. Step 5: Solve for x
    x = 14,782,839.55/5,802.24
  6. Step 6: Final answer
    x = 2,547.78

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1.5x scale

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.