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Finding the Fourth Proportional to 4,492.53, 6,196.59 and 4,120.74

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Solution

The fourth proportional to 4,492.53, 6,196.59 and 4,120.74 is: 5,683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,492.53 : 6,196.59 = 4,120.74 : x
  2. Step 2: Convert to fraction form
    4,492.53/6,196.59 = 4,120.74/x
  3. Step 3: Cross multiply
    4,492.53x = 6,196.59 × 4,120.74
  4. Step 4: Simplify right side
    4,492.53x = 25,534,536.28
  5. Step 5: Solve for x
    x = 25,534,536.28/4,492.53
  6. Step 6: Final answer
    x = 5,683.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.