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Finding the Fourth Proportional to 5,389.60, 7,560.80 and 5,389.60

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Solution

The fourth proportional to 5,389.60, 7,560.80 and 5,389.60 is: 7,560.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,389.60 : 7,560.80 = 5,389.60 : x
  2. Step 2: Convert to fraction form
    5,389.60/7,560.80 = 5,389.60/x
  3. Step 3: Cross multiply
    5,389.60x = 7,560.80 × 5,389.60
  4. Step 4: Simplify right side
    5,389.60x = 40,749,687.68
  5. Step 5: Solve for x
    x = 40,749,687.68/5,389.60
  6. Step 6: Final answer
    x = 7,560.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.