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Finding the Fourth Proportional to 4,652.83, 6,971.11 and 3,877.81

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Solution

The fourth proportional to 4,652.83, 6,971.11 and 3,877.81 is: 5,809.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.83 : 6,971.11 = 3,877.81 : x
  2. Step 2: Convert to fraction form
    4,652.83/6,971.11 = 3,877.81/x
  3. Step 3: Cross multiply
    4,652.83x = 6,971.11 × 3,877.81
  4. Step 4: Simplify right side
    4,652.83x = 27,032,585.82
  5. Step 5: Solve for x
    x = 27,032,585.82/4,652.83
  6. Step 6: Final answer
    x = 5,809.93

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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.