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Finding the Fourth Proportional to 5,152.88, 7,728.27 and 3,045.29

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Solution

The fourth proportional to 5,152.88, 7,728.27 and 3,045.29 is: 4,567.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.88 : 7,728.27 = 3,045.29 : x
  2. Step 2: Convert to fraction form
    5,152.88/7,728.27 = 3,045.29/x
  3. Step 3: Cross multiply
    5,152.88x = 7,728.27 × 3,045.29
  4. Step 4: Simplify right side
    5,152.88x = 23,534,784.71
  5. Step 5: Solve for x
    x = 23,534,784.71/5,152.88
  6. Step 6: Final answer
    x = 4,567.31

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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.