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Finding the Fourth Proportional to 4,323.96, 5,967.10 and 2,461.08

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Solution

The fourth proportional to 4,323.96, 5,967.10 and 2,461.08 is: 3,396.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.96 : 5,967.10 = 2,461.08 : x
  2. Step 2: Convert to fraction form
    4,323.96/5,967.10 = 2,461.08/x
  3. Step 3: Cross multiply
    4,323.96x = 5,967.10 × 2,461.08
  4. Step 4: Simplify right side
    4,323.96x = 14,685,510.47
  5. Step 5: Solve for x
    x = 14,685,510.47/4,323.96
  6. Step 6: Final answer
    x = 3,396.31

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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.