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Finding the Fourth Proportional to 5,019.42, 7,533.75 and 2,556

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Solution

The fourth proportional to 5,019.42, 7,533.75 and 2,556 is: 3,836.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,019.42 : 7,533.75 = 2,556 : x
  2. Step 2: Convert to fraction form
    5,019.42/7,533.75 = 2,556/x
  3. Step 3: Cross multiply
    5,019.42x = 7,533.75 × 2,556
  4. Step 4: Simplify right side
    5,019.42x = 19,256,265
  5. Step 5: Solve for x
    x = 19,256,265/5,019.42
  6. Step 6: Final answer
    x = 3,836.35

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Why These Related Problems?

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