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Finding the Fourth Proportional to 5,013.84, 7,521 and 1,893.60

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Solution

The fourth proportional to 5,013.84, 7,521 and 1,893.60 is: 2,840.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,013.84 : 7,521 = 1,893.60 : x
  2. Step 2: Convert to fraction form
    5,013.84/7,521 = 1,893.60/x
  3. Step 3: Cross multiply
    5,013.84x = 7,521 × 1,893.60
  4. Step 4: Simplify right side
    5,013.84x = 14,241,765.60
  5. Step 5: Solve for x
    x = 14,241,765.60/5,013.84
  6. Step 6: Final answer
    x = 2,840.49

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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.