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Finding the Fourth Proportional to 4,921.02, 7,381.50 and 1,411.08

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Solution

The fourth proportional to 4,921.02, 7,381.50 and 1,411.08 is: 2,116.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.02 : 7,381.50 = 1,411.08 : x
  2. Step 2: Convert to fraction form
    4,921.02/7,381.50 = 1,411.08/x
  3. Step 3: Cross multiply
    4,921.02x = 7,381.50 × 1,411.08
  4. Step 4: Simplify right side
    4,921.02x = 10,415,887.02
  5. Step 5: Solve for x
    x = 10,415,887.02/4,921.02
  6. Step 6: Final answer
    x = 2,116.61

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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.