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Finding the Fourth Proportional to 5,740.69, 7,929.96 and 4,497.48

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Solution

The fourth proportional to 5,740.69, 7,929.96 and 4,497.48 is: 6,212.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,740.69 : 7,929.96 = 4,497.48 : x
  2. Step 2: Convert to fraction form
    5,740.69/7,929.96 = 4,497.48/x
  3. Step 3: Cross multiply
    5,740.69x = 7,929.96 × 4,497.48
  4. Step 4: Simplify right side
    5,740.69x = 35,664,836.50
  5. Step 5: Solve for x
    x = 35,664,836.50/5,740.69
  6. Step 6: Final answer
    x = 6,212.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.