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Finding the Fourth Proportional to 3,918.69, 5,878.05 and 997.02

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Solution

The fourth proportional to 3,918.69, 5,878.05 and 997.02 is: 1,495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.69 : 5,878.05 = 997.02 : x
  2. Step 2: Convert to fraction form
    3,918.69/5,878.05 = 997.02/x
  3. Step 3: Cross multiply
    3,918.69x = 5,878.05 × 997.02
  4. Step 4: Simplify right side
    3,918.69x = 5,860,533.41
  5. Step 5: Solve for x
    x = 5,860,533.41/3,918.69
  6. Step 6: Final answer
    x = 1,495.53

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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.