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Finding the Fourth Proportional to 4,289.56, 6,434.01 and 1,658.32

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Solution

The fourth proportional to 4,289.56, 6,434.01 and 1,658.32 is: 2,487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.56 : 6,434.01 = 1,658.32 : x
  2. Step 2: Convert to fraction form
    4,289.56/6,434.01 = 1,658.32/x
  3. Step 3: Cross multiply
    4,289.56x = 6,434.01 × 1,658.32
  4. Step 4: Simplify right side
    4,289.56x = 10,669,647.46
  5. Step 5: Solve for x
    x = 10,669,647.46/4,289.56
  6. Step 6: Final answer
    x = 2,487.35

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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.