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Finding the Fourth Proportional to 5,253.63, 7,880.52 and 1,556.23

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Solution

The fourth proportional to 5,253.63, 7,880.52 and 1,556.23 is: 2,334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.63 : 7,880.52 = 1,556.23 : x
  2. Step 2: Convert to fraction form
    5,253.63/7,880.52 = 1,556.23/x
  3. Step 3: Cross multiply
    5,253.63x = 7,880.52 × 1,556.23
  4. Step 4: Simplify right side
    5,253.63x = 12,263,921.34
  5. Step 5: Solve for x
    x = 12,263,921.34/5,253.63
  6. Step 6: Final answer
    x = 2,334.37

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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.