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Finding the Fourth Proportional to 5,455.16, 8,186.24 and 5,435

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Solution

The fourth proportional to 5,455.16, 8,186.24 and 5,435 is: 8,155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,455.16 : 8,186.24 = 5,435 : x
  2. Step 2: Convert to fraction form
    5,455.16/8,186.24 = 5,435/x
  3. Step 3: Cross multiply
    5,455.16x = 8,186.24 × 5,435
  4. Step 4: Simplify right side
    5,455.16x = 44,492,214.40
  5. Step 5: Solve for x
    x = 44,492,214.40/5,455.16
  6. Step 6: Final answer
    x = 8,155.99

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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.