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Finding the Fourth Proportional to 4,055, 6,084.93 and 1,746.50

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Solution

The fourth proportional to 4,055, 6,084.93 and 1,746.50 is: 2,620.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055 : 6,084.93 = 1,746.50 : x
  2. Step 2: Convert to fraction form
    4,055/6,084.93 = 1,746.50/x
  3. Step 3: Cross multiply
    4,055x = 6,084.93 × 1,746.50
  4. Step 4: Simplify right side
    4,055x = 10,627,330.25
  5. Step 5: Solve for x
    x = 10,627,330.25/4,055
  6. Step 6: Final answer
    x = 2,620.80

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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.