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Finding the Fourth Proportional to 4,153.48, 5,729.03 and 3,312.70

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Solution

The fourth proportional to 4,153.48, 5,729.03 and 3,312.70 is: 4,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.48 : 5,729.03 = 3,312.70 : x
  2. Step 2: Convert to fraction form
    4,153.48/5,729.03 = 3,312.70/x
  3. Step 3: Cross multiply
    4,153.48x = 5,729.03 × 3,312.70
  4. Step 4: Simplify right side
    4,153.48x = 18,978,539.22
  5. Step 5: Solve for x
    x = 18,978,539.22/4,153.48
  6. Step 6: Final answer
    x = 4,569.31

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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.