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Finding the Fourth Proportional to 3,523.08, 5,284.93 and 926.02

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Solution

The fourth proportional to 3,523.08, 5,284.93 and 926.02 is: 1,389.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.08 : 5,284.93 = 926.02 : x
  2. Step 2: Convert to fraction form
    3,523.08/5,284.93 = 926.02/x
  3. Step 3: Cross multiply
    3,523.08x = 5,284.93 × 926.02
  4. Step 4: Simplify right side
    3,523.08x = 4,893,927.18
  5. Step 5: Solve for x
    x = 4,893,927.18/3,523.08
  6. Step 6: Final answer
    x = 1,389.11

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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.