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Finding the Fourth Proportional to 4,652.01, 6,980.39 and 3,093.08

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Solution

The fourth proportional to 4,652.01, 6,980.39 and 3,093.08 is: 4,641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.01 : 6,980.39 = 3,093.08 : x
  2. Step 2: Convert to fraction form
    4,652.01/6,980.39 = 3,093.08/x
  3. Step 3: Cross multiply
    4,652.01x = 6,980.39 × 3,093.08
  4. Step 4: Simplify right side
    4,652.01x = 21,590,894.98
  5. Step 5: Solve for x
    x = 21,590,894.98/4,652.01
  6. Step 6: Final answer
    x = 4,641.19

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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.