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Finding the Fourth Proportional to 5,661.84, 8,492.16 and 3,466.74

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Solution

The fourth proportional to 5,661.84, 8,492.16 and 3,466.74 is: 5,199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,661.84 : 8,492.16 = 3,466.74 : x
  2. Step 2: Convert to fraction form
    5,661.84/8,492.16 = 3,466.74/x
  3. Step 3: Cross multiply
    5,661.84x = 8,492.16 × 3,466.74
  4. Step 4: Simplify right side
    5,661.84x = 29,440,110.76
  5. Step 5: Solve for x
    x = 29,440,110.76/5,661.84
  6. Step 6: Final answer
    x = 5,199.74

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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.