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Finding the Fourth Proportional to 5,507.46, 8,262 and 1,611.36

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Solution

The fourth proportional to 5,507.46, 8,262 and 1,611.36 is: 2,417.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,507.46 : 8,262 = 1,611.36 : x
  2. Step 2: Convert to fraction form
    5,507.46/8,262 = 1,611.36/x
  3. Step 3: Cross multiply
    5,507.46x = 8,262 × 1,611.36
  4. Step 4: Simplify right side
    5,507.46x = 13,313,056.32
  5. Step 5: Solve for x
    x = 13,313,056.32/5,507.46
  6. Step 6: Final answer
    x = 2,417.28

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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.