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Finding the Fourth Proportional to 4,948.64, 7,423 and 2,026.94

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Solution

The fourth proportional to 4,948.64, 7,423 and 2,026.94 is: 3,040.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.64 : 7,423 = 2,026.94 : x
  2. Step 2: Convert to fraction form
    4,948.64/7,423 = 2,026.94/x
  3. Step 3: Cross multiply
    4,948.64x = 7,423 × 2,026.94
  4. Step 4: Simplify right side
    4,948.64x = 15,045,975.62
  5. Step 5: Solve for x
    x = 15,045,975.62/4,948.64
  6. Step 6: Final answer
    x = 3,040.43

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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.