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Finding the Fourth Proportional to 5,389.60, 7,445.64 and 5,020.80

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Solution

The fourth proportional to 5,389.60, 7,445.64 and 5,020.80 is: 6,936.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.60 : 7,445.64 = 5,020.80 : x
  2. Step 2: Convert to fraction form
    5,389.60/7,445.64 = 5,020.80/x
  3. Step 3: Cross multiply
    5,389.60x = 7,445.64 × 5,020.80
  4. Step 4: Simplify right side
    5,389.60x = 37,383,069.31
  5. Step 5: Solve for x
    x = 37,383,069.31/5,389.60
  6. Step 6: Final answer
    x = 6,936.15

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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.