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Finding the Fourth Proportional to 5,200.74, 7,802.04 and 1,913.46

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Solution

The fourth proportional to 5,200.74, 7,802.04 and 1,913.46 is: 2,870.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.74 : 7,802.04 = 1,913.46 : x
  2. Step 2: Convert to fraction form
    5,200.74/7,802.04 = 1,913.46/x
  3. Step 3: Cross multiply
    5,200.74x = 7,802.04 × 1,913.46
  4. Step 4: Simplify right side
    5,200.74x = 14,928,891.46
  5. Step 5: Solve for x
    x = 14,928,891.46/5,200.74
  6. Step 6: Final answer
    x = 2,870.53

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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.