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Finding the Fourth Proportional to 3,312.96, 4,969.44 and 1,576.32

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Solution

The fourth proportional to 3,312.96, 4,969.44 and 1,576.32 is: 2,364.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.96 : 4,969.44 = 1,576.32 : x
  2. Step 2: Convert to fraction form
    3,312.96/4,969.44 = 1,576.32/x
  3. Step 3: Cross multiply
    3,312.96x = 4,969.44 × 1,576.32
  4. Step 4: Simplify right side
    3,312.96x = 7,833,427.66
  5. Step 5: Solve for x
    x = 7,833,427.66/3,312.96
  6. Step 6: Final answer
    x = 2,364.48

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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.