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Finding the Fourth Proportional to 3,657.83, 5,047.92 and 2,064.50

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Solution

The fourth proportional to 3,657.83, 5,047.92 and 2,064.50 is: 2,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.83 : 5,047.92 = 2,064.50 : x
  2. Step 2: Convert to fraction form
    3,657.83/5,047.92 = 2,064.50/x
  3. Step 3: Cross multiply
    3,657.83x = 5,047.92 × 2,064.50
  4. Step 4: Simplify right side
    3,657.83x = 10,421,430.84
  5. Step 5: Solve for x
    x = 10,421,430.84/3,657.83
  6. Step 6: Final answer
    x = 2,849.07

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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.