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Finding the Fourth Proportional to 5,368.42, 7,408.84 and 2,978.63

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Solution

The fourth proportional to 5,368.42, 7,408.84 and 2,978.63 is: 4,110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,368.42 : 7,408.84 = 2,978.63 : x
  2. Step 2: Convert to fraction form
    5,368.42/7,408.84 = 2,978.63/x
  3. Step 3: Cross multiply
    5,368.42x = 7,408.84 × 2,978.63
  4. Step 4: Simplify right side
    5,368.42x = 22,068,156.05
  5. Step 5: Solve for x
    x = 22,068,156.05/5,368.42
  6. Step 6: Final answer
    x = 4,110.74

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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.