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Finding the Fourth Proportional to 4,996.84, 7,495.08 and 1,534

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Solution

The fourth proportional to 4,996.84, 7,495.08 and 1,534 is: 2,300.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,996.84 : 7,495.08 = 1,534 : x
  2. Step 2: Convert to fraction form
    4,996.84/7,495.08 = 1,534/x
  3. Step 3: Cross multiply
    4,996.84x = 7,495.08 × 1,534
  4. Step 4: Simplify right side
    4,996.84x = 11,497,452.72
  5. Step 5: Solve for x
    x = 11,497,452.72/4,996.84
  6. Step 6: Final answer
    x = 2,300.94

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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.