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Finding the Fourth Proportional to 4,846.40, 7,275.80 and 4,034.64

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Solution

The fourth proportional to 4,846.40, 7,275.80 and 4,034.64 is: 6,057.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,846.40 : 7,275.80 = 4,034.64 : x
  2. Step 2: Convert to fraction form
    4,846.40/7,275.80 = 4,034.64/x
  3. Step 3: Cross multiply
    4,846.40x = 7,275.80 × 4,034.64
  4. Step 4: Simplify right side
    4,846.40x = 29,355,233.71
  5. Step 5: Solve for x
    x = 29,355,233.71/4,846.40
  6. Step 6: Final answer
    x = 6,057.12

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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.