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Finding the Fourth Proportional to 4,364.89, 6,024.17 and 2,596.46

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Solution

The fourth proportional to 4,364.89, 6,024.17 and 2,596.46 is: 3,583.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.89 : 6,024.17 = 2,596.46 : x
  2. Step 2: Convert to fraction form
    4,364.89/6,024.17 = 2,596.46/x
  3. Step 3: Cross multiply
    4,364.89x = 6,024.17 × 2,596.46
  4. Step 4: Simplify right side
    4,364.89x = 15,641,492.81
  5. Step 5: Solve for x
    x = 15,641,492.81/4,364.89
  6. Step 6: Final answer
    x = 3,583.48

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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.