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Finding the Fourth Proportional to 5,808.64, 8,712.72 and 1,426

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Solution

The fourth proportional to 5,808.64, 8,712.72 and 1,426 is: 2,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,808.64 : 8,712.72 = 1,426 : x
  2. Step 2: Convert to fraction form
    5,808.64/8,712.72 = 1,426/x
  3. Step 3: Cross multiply
    5,808.64x = 8,712.72 × 1,426
  4. Step 4: Simplify right side
    5,808.64x = 12,424,338.72
  5. Step 5: Solve for x
    x = 12,424,338.72/5,808.64
  6. Step 6: Final answer
    x = 2,138.94

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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.