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Finding the Fourth Proportional to 3,657.34, 5,047 and 2,064.07

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Solution

The fourth proportional to 3,657.34, 5,047 and 2,064.07 is: 2,848.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.34 : 5,047 = 2,064.07 : x
  2. Step 2: Convert to fraction form
    3,657.34/5,047 = 2,064.07/x
  3. Step 3: Cross multiply
    3,657.34x = 5,047 × 2,064.07
  4. Step 4: Simplify right side
    3,657.34x = 10,417,361.29
  5. Step 5: Solve for x
    x = 10,417,361.29/3,657.34
  6. Step 6: Final answer
    x = 2,848.34

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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.