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Finding the Fourth Proportional to 4,476.52, 6,707.35 and 2,741.50

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Solution

The fourth proportional to 4,476.52, 6,707.35 and 2,741.50 is: 4,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.52 : 6,707.35 = 2,741.50 : x
  2. Step 2: Convert to fraction form
    4,476.52/6,707.35 = 2,741.50/x
  3. Step 3: Cross multiply
    4,476.52x = 6,707.35 × 2,741.50
  4. Step 4: Simplify right side
    4,476.52x = 18,388,200.03
  5. Step 5: Solve for x
    x = 18,388,200.03/4,476.52
  6. Step 6: Final answer
    x = 4,107.70

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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.