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Finding the Fourth Proportional to 5,505.76, 7,599.36 and 3,408.64

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Solution

The fourth proportional to 5,505.76, 7,599.36 and 3,408.64 is: 4,704.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505.76 : 7,599.36 = 3,408.64 : x
  2. Step 2: Convert to fraction form
    5,505.76/7,599.36 = 3,408.64/x
  3. Step 3: Cross multiply
    5,505.76x = 7,599.36 × 3,408.64
  4. Step 4: Simplify right side
    5,505.76x = 25,903,482.47
  5. Step 5: Solve for x
    x = 25,903,482.47/5,505.76
  6. Step 6: Final answer
    x = 4,704.80

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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.