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Finding the Fourth Proportional to 3,607.41, 5,409.03 and 1,756.66

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Solution

The fourth proportional to 3,607.41, 5,409.03 and 1,756.66 is: 2,633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.41 : 5,409.03 = 1,756.66 : x
  2. Step 2: Convert to fraction form
    3,607.41/5,409.03 = 1,756.66/x
  3. Step 3: Cross multiply
    3,607.41x = 5,409.03 × 1,756.66
  4. Step 4: Simplify right side
    3,607.41x = 9,501,835.18
  5. Step 5: Solve for x
    x = 9,501,835.18/3,607.41
  6. Step 6: Final answer
    x = 2,633.98

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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.