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Finding the Fourth Proportional to 5,409.64, 8,106.06 and 4,107.16

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Solution

The fourth proportional to 5,409.64, 8,106.06 and 4,107.16 is: 6,154.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.64 : 8,106.06 = 4,107.16 : x
  2. Step 2: Convert to fraction form
    5,409.64/8,106.06 = 4,107.16/x
  3. Step 3: Cross multiply
    5,409.64x = 8,106.06 × 4,107.16
  4. Step 4: Simplify right side
    5,409.64x = 33,292,885.39
  5. Step 5: Solve for x
    x = 33,292,885.39/5,409.64
  6. Step 6: Final answer
    x = 6,154.36

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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.