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Finding the Fourth Proportional to 5,158.64, 7,737.94 and 1,263.05

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Solution

The fourth proportional to 5,158.64, 7,737.94 and 1,263.05 is: 1,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,158.64 : 7,737.94 = 1,263.05 : x
  2. Step 2: Convert to fraction form
    5,158.64/7,737.94 = 1,263.05/x
  3. Step 3: Cross multiply
    5,158.64x = 7,737.94 × 1,263.05
  4. Step 4: Simplify right side
    5,158.64x = 9,773,405.12
  5. Step 5: Solve for x
    x = 9,773,405.12/5,158.64
  6. Step 6: Final answer
    x = 1,894.57

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