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Finding the Fourth Proportional to 5,395.84, 8,088 and 3,852.16

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Solution

The fourth proportional to 5,395.84, 8,088 and 3,852.16 is: 5,774.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.84 : 8,088 = 3,852.16 : x
  2. Step 2: Convert to fraction form
    5,395.84/8,088 = 3,852.16/x
  3. Step 3: Cross multiply
    5,395.84x = 8,088 × 3,852.16
  4. Step 4: Simplify right side
    5,395.84x = 31,156,270.08
  5. Step 5: Solve for x
    x = 31,156,270.08/5,395.84
  6. Step 6: Final answer
    x = 5,774.13

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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.