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Finding the Fourth Proportional to 4,546.24, 6,818.24 and 1,259.20

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Solution

The fourth proportional to 4,546.24, 6,818.24 and 1,259.20 is: 1,888.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.24 : 6,818.24 = 1,259.20 : x
  2. Step 2: Convert to fraction form
    4,546.24/6,818.24 = 1,259.20/x
  3. Step 3: Cross multiply
    4,546.24x = 6,818.24 × 1,259.20
  4. Step 4: Simplify right side
    4,546.24x = 8,585,527.81
  5. Step 5: Solve for x
    x = 8,585,527.81/4,546.24
  6. Step 6: Final answer
    x = 1,888.49

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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.