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Finding the Fourth Proportional to 3,907.16, 5,860.69 and 985.45

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Solution

The fourth proportional to 3,907.16, 5,860.69 and 985.45 is: 1,478.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.16 : 5,860.69 = 985.45 : x
  2. Step 2: Convert to fraction form
    3,907.16/5,860.69 = 985.45/x
  3. Step 3: Cross multiply
    3,907.16x = 5,860.69 × 985.45
  4. Step 4: Simplify right side
    3,907.16x = 5,775,399.85
  5. Step 5: Solve for x
    x = 5,775,399.85/3,907.16
  6. Step 6: Final answer
    x = 1,478.16

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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.