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Finding the Fourth Proportional to 3,607.16, 5,409.64 and 1,874.84

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Solution

The fourth proportional to 3,607.16, 5,409.64 and 1,874.84 is: 2,811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.16 : 5,409.64 = 1,874.84 : x
  2. Step 2: Convert to fraction form
    3,607.16/5,409.64 = 1,874.84/x
  3. Step 3: Cross multiply
    3,607.16x = 5,409.64 × 1,874.84
  4. Step 4: Simplify right side
    3,607.16x = 10,142,209.46
  5. Step 5: Solve for x
    x = 10,142,209.46/3,607.16
  6. Step 6: Final answer
    x = 2,811.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.