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Finding the Fourth Proportional to 4,597.64, 6,898.74 and 1,824.26

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Solution

The fourth proportional to 4,597.64, 6,898.74 and 1,824.26 is: 2,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.64 : 6,898.74 = 1,824.26 : x
  2. Step 2: Convert to fraction form
    4,597.64/6,898.74 = 1,824.26/x
  3. Step 3: Cross multiply
    4,597.64x = 6,898.74 × 1,824.26
  4. Step 4: Simplify right side
    4,597.64x = 12,585,060.94
  5. Step 5: Solve for x
    x = 12,585,060.94/4,597.64
  6. Step 6: Final answer
    x = 2,737.29

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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.