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Finding the Fourth Proportional to 4,336.82, 6,506.01 and 1,376.00

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Solution

The fourth proportional to 4,336.82, 6,506.01 and 1,376.00 is: 2,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336.82 : 6,506.01 = 1,376.00 : x
  2. Step 2: Convert to fraction form
    4,336.82/6,506.01 = 1,376.00/x
  3. Step 3: Cross multiply
    4,336.82x = 6,506.01 × 1,376.00
  4. Step 4: Simplify right side
    4,336.82x = 8,952,237.23
  5. Step 5: Solve for x
    x = 8,952,237.23/4,336.82
  6. Step 6: Final answer
    x = 2,064.24

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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.