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Finding the Fourth Proportional to 3,486.89, 4,809.89 and 2,088.83

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Solution

The fourth proportional to 3,486.89, 4,809.89 and 2,088.83 is: 2,881.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.89 : 4,809.89 = 2,088.83 : x
  2. Step 2: Convert to fraction form
    3,486.89/4,809.89 = 2,088.83/x
  3. Step 3: Cross multiply
    3,486.89x = 4,809.89 × 2,088.83
  4. Step 4: Simplify right side
    3,486.89x = 10,047,008.04
  5. Step 5: Solve for x
    x = 10,047,008.04/3,486.89
  6. Step 6: Final answer
    x = 2,881.37

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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.