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Finding the Fourth Proportional to 4,274.06, 5,898.80 and 2,506.38

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Solution

The fourth proportional to 4,274.06, 5,898.80 and 2,506.38 is: 3,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.06 : 5,898.80 = 2,506.38 : x
  2. Step 2: Convert to fraction form
    4,274.06/5,898.80 = 2,506.38/x
  3. Step 3: Cross multiply
    4,274.06x = 5,898.80 × 2,506.38
  4. Step 4: Simplify right side
    4,274.06x = 14,784,634.34
  5. Step 5: Solve for x
    x = 14,784,634.34/4,274.06
  6. Step 6: Final answer
    x = 3,459.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.