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Finding the Fourth Proportional to 4,117.68, 5,682.42 and 2,254.68

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Solution

The fourth proportional to 4,117.68, 5,682.42 and 2,254.68 is: 3,111.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.68 : 5,682.42 = 2,254.68 : x
  2. Step 2: Convert to fraction form
    4,117.68/5,682.42 = 2,254.68/x
  3. Step 3: Cross multiply
    4,117.68x = 5,682.42 × 2,254.68
  4. Step 4: Simplify right side
    4,117.68x = 12,812,038.73
  5. Step 5: Solve for x
    x = 12,812,038.73/4,117.68
  6. Step 6: Final answer
    x = 3,111.47

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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.