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Finding the Fourth Proportional to 4,684.08, 7,024.86 and 1,396.32

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Solution

The fourth proportional to 4,684.08, 7,024.86 and 1,396.32 is: 2,094.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.08 : 7,024.86 = 1,396.32 : x
  2. Step 2: Convert to fraction form
    4,684.08/7,024.86 = 1,396.32/x
  3. Step 3: Cross multiply
    4,684.08x = 7,024.86 × 1,396.32
  4. Step 4: Simplify right side
    4,684.08x = 9,808,952.52
  5. Step 5: Solve for x
    x = 9,808,952.52/4,684.08
  6. Step 6: Final answer
    x = 2,094.10

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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.