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Finding the Fourth Proportional to 5,803.53, 8,005.28 and 3,444

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Solution

The fourth proportional to 5,803.53, 8,005.28 and 3,444 is: 4,750.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,803.53 : 8,005.28 = 3,444 : x
  2. Step 2: Convert to fraction form
    5,803.53/8,005.28 = 3,444/x
  3. Step 3: Cross multiply
    5,803.53x = 8,005.28 × 3,444
  4. Step 4: Simplify right side
    5,803.53x = 27,570,167.10
  5. Step 5: Solve for x
    x = 27,570,167.10/5,803.53
  6. Step 6: Final answer
    x = 4,750.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.