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Finding the Fourth Proportional to 4,978.85, 6,870.96 and 2,740.86

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Solution

The fourth proportional to 4,978.85, 6,870.96 and 2,740.86 is: 3,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.85 : 6,870.96 = 2,740.86 : x
  2. Step 2: Convert to fraction form
    4,978.85/6,870.96 = 2,740.86/x
  3. Step 3: Cross multiply
    4,978.85x = 6,870.96 × 2,740.86
  4. Step 4: Simplify right side
    4,978.85x = 18,832,339.43
  5. Step 5: Solve for x
    x = 18,832,339.43/4,978.85
  6. Step 6: Final answer
    x = 3,782.47

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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.