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Finding the Fourth Proportional to 5,203.36, 7,803.90 and 1,504.90

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Solution

The fourth proportional to 5,203.36, 7,803.90 and 1,504.90 is: 2,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,203.36 : 7,803.90 = 1,504.90 : x
  2. Step 2: Convert to fraction form
    5,203.36/7,803.90 = 1,504.90/x
  3. Step 3: Cross multiply
    5,203.36x = 7,803.90 × 1,504.90
  4. Step 4: Simplify right side
    5,203.36x = 11,744,089.11
  5. Step 5: Solve for x
    x = 11,744,089.11/5,203.36
  6. Step 6: Final answer
    x = 2,257.02

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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.