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Finding the Fourth Proportional to 4,088.54, 6,133.84 and 1,166.84

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Solution

The fourth proportional to 4,088.54, 6,133.84 and 1,166.84 is: 1,750.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088.54 : 6,133.84 = 1,166.84 : x
  2. Step 2: Convert to fraction form
    4,088.54/6,133.84 = 1,166.84/x
  3. Step 3: Cross multiply
    4,088.54x = 6,133.84 × 1,166.84
  4. Step 4: Simplify right side
    4,088.54x = 7,157,209.87
  5. Step 5: Solve for x
    x = 7,157,209.87/4,088.54
  6. Step 6: Final answer
    x = 1,750.55

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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.