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Finding the Fourth Proportional to 4,455.74, 6,683.40 and 1,533.98

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Solution

The fourth proportional to 4,455.74, 6,683.40 and 1,533.98 is: 2,300.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,455.74 : 6,683.40 = 1,533.98 : x
  2. Step 2: Convert to fraction form
    4,455.74/6,683.40 = 1,533.98/x
  3. Step 3: Cross multiply
    4,455.74x = 6,683.40 × 1,533.98
  4. Step 4: Simplify right side
    4,455.74x = 10,252,201.93
  5. Step 5: Solve for x
    x = 10,252,201.93/4,455.74
  6. Step 6: Final answer
    x = 2,300.90

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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.