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Finding the Fourth Proportional to 4,157.66, 5,737.74 and 2,389.82

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Solution

The fourth proportional to 4,157.66, 5,737.74 and 2,389.82 is: 3,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.66 : 5,737.74 = 2,389.82 : x
  2. Step 2: Convert to fraction form
    4,157.66/5,737.74 = 2,389.82/x
  3. Step 3: Cross multiply
    4,157.66x = 5,737.74 × 2,389.82
  4. Step 4: Simplify right side
    4,157.66x = 13,712,165.81
  5. Step 5: Solve for x
    x = 13,712,165.81/4,157.66
  6. Step 6: Final answer
    x = 3,298.05

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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.