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Finding the Fourth Proportional to 5,220.36, 7,830.90 and 1,522.53

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Solution

The fourth proportional to 5,220.36, 7,830.90 and 1,522.53 is: 2,283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.36 : 7,830.90 = 1,522.53 : x
  2. Step 2: Convert to fraction form
    5,220.36/7,830.90 = 1,522.53/x
  3. Step 3: Cross multiply
    5,220.36x = 7,830.90 × 1,522.53
  4. Step 4: Simplify right side
    5,220.36x = 11,922,780.18
  5. Step 5: Solve for x
    x = 11,922,780.18/5,220.36
  6. Step 6: Final answer
    x = 2,283.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.