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Finding the Fourth Proportional to 5,664.94, 8,497.10 and 2,374.11

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Solution

The fourth proportional to 5,664.94, 8,497.10 and 2,374.11 is: 3,561.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.94 : 8,497.10 = 2,374.11 : x
  2. Step 2: Convert to fraction form
    5,664.94/8,497.10 = 2,374.11/x
  3. Step 3: Cross multiply
    5,664.94x = 8,497.10 × 2,374.11
  4. Step 4: Simplify right side
    5,664.94x = 20,173,056.02
  5. Step 5: Solve for x
    x = 20,173,056.02/5,664.94
  6. Step 6: Final answer
    x = 3,561.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.