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Finding the Fourth Proportional to 3,607.09, 5,410.53 and 1,973.98

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Solution

The fourth proportional to 3,607.09, 5,410.53 and 1,973.98 is: 2,960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.09 : 5,410.53 = 1,973.98 : x
  2. Step 2: Convert to fraction form
    3,607.09/5,410.53 = 1,973.98/x
  3. Step 3: Cross multiply
    3,607.09x = 5,410.53 × 1,973.98
  4. Step 4: Simplify right side
    3,607.09x = 10,680,278.01
  5. Step 5: Solve for x
    x = 10,680,278.01/3,607.09
  6. Step 6: Final answer
    x = 2,960.91

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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.