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Finding the Fourth Proportional to 4,455.68, 6,683.67 and 1,533.96

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Solution

The fourth proportional to 4,455.68, 6,683.67 and 1,533.96 is: 2,300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,455.68 : 6,683.67 = 1,533.96 : x
  2. Step 2: Convert to fraction form
    4,455.68/6,683.67 = 1,533.96/x
  3. Step 3: Cross multiply
    4,455.68x = 6,683.67 × 1,533.96
  4. Step 4: Simplify right side
    4,455.68x = 10,252,482.43
  5. Step 5: Solve for x
    x = 10,252,482.43/4,455.68
  6. Step 6: Final answer
    x = 2,300.99

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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.