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Finding the Fourth Proportional to 5,383, 7,428.54 and 3,520

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Solution

The fourth proportional to 5,383, 7,428.54 and 3,520 is: 4,857.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,383 : 7,428.54 = 3,520 : x
  2. Step 2: Convert to fraction form
    5,383/7,428.54 = 3,520/x
  3. Step 3: Cross multiply
    5,383x = 7,428.54 × 3,520
  4. Step 4: Simplify right side
    5,383x = 26,148,460.80
  5. Step 5: Solve for x
    x = 26,148,460.80/5,383
  6. Step 6: Final answer
    x = 4,857.60

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