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Finding the Fourth Proportional to 4,684.37, 7,024.46 and 1,396.58

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Solution

The fourth proportional to 4,684.37, 7,024.46 and 1,396.58 is: 2,094.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.37 : 7,024.46 = 1,396.58 : x
  2. Step 2: Convert to fraction form
    4,684.37/7,024.46 = 1,396.58/x
  3. Step 3: Cross multiply
    4,684.37x = 7,024.46 × 1,396.58
  4. Step 4: Simplify right side
    4,684.37x = 9,810,178.24
  5. Step 5: Solve for x
    x = 9,810,178.24/4,684.37
  6. Step 6: Final answer
    x = 2,094.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.