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Finding the Fourth Proportional to 5,299, 7,312.64 and 2,941.48

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Solution

The fourth proportional to 5,299, 7,312.64 and 2,941.48 is: 4,059.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299 : 7,312.64 = 2,941.48 : x
  2. Step 2: Convert to fraction form
    5,299/7,312.64 = 2,941.48/x
  3. Step 3: Cross multiply
    5,299x = 7,312.64 × 2,941.48
  4. Step 4: Simplify right side
    5,299x = 21,509,984.31
  5. Step 5: Solve for x
    x = 21,509,984.31/5,299
  6. Step 6: Final answer
    x = 4,059.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.