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Finding the Fourth Proportional to 4,693.62, 7,042.86 and 3,405.72

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Solution

The fourth proportional to 4,693.62, 7,042.86 and 3,405.72 is: 5,110.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,693.62 : 7,042.86 = 3,405.72 : x
  2. Step 2: Convert to fraction form
    4,693.62/7,042.86 = 3,405.72/x
  3. Step 3: Cross multiply
    4,693.62x = 7,042.86 × 3,405.72
  4. Step 4: Simplify right side
    4,693.62x = 23,986,009.16
  5. Step 5: Solve for x
    x = 23,986,009.16/4,693.62
  6. Step 6: Final answer
    x = 5,110.34

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1.5x scale

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.