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Finding the Fourth Proportional to 4,365.72, 6,024.71 and 2,597.32

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Solution

The fourth proportional to 4,365.72, 6,024.71 and 2,597.32 is: 3,584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,365.72 : 6,024.71 = 2,597.32 : x
  2. Step 2: Convert to fraction form
    4,365.72/6,024.71 = 2,597.32/x
  3. Step 3: Cross multiply
    4,365.72x = 6,024.71 × 2,597.32
  4. Step 4: Simplify right side
    4,365.72x = 15,648,099.78
  5. Step 5: Solve for x
    x = 15,648,099.78/4,365.72
  6. Step 6: Final answer
    x = 3,584.31

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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.