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Finding the Fourth Proportional to 3,802.16, 5,701.56 and 1,492.08

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Solution

The fourth proportional to 3,802.16, 5,701.56 and 1,492.08 is: 2,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.16 : 5,701.56 = 1,492.08 : x
  2. Step 2: Convert to fraction form
    3,802.16/5,701.56 = 1,492.08/x
  3. Step 3: Cross multiply
    3,802.16x = 5,701.56 × 1,492.08
  4. Step 4: Simplify right side
    3,802.16x = 8,507,183.64
  5. Step 5: Solve for x
    x = 8,507,183.64/3,802.16
  6. Step 6: Final answer
    x = 2,237.46

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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.