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Finding the Fourth Proportional to 3,728.04, 5,142.90 and 2,401.32

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Solution

The fourth proportional to 3,728.04, 5,142.90 and 2,401.32 is: 3,312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.04 : 5,142.90 = 2,401.32 : x
  2. Step 2: Convert to fraction form
    3,728.04/5,142.90 = 2,401.32/x
  3. Step 3: Cross multiply
    3,728.04x = 5,142.90 × 2,401.32
  4. Step 4: Simplify right side
    3,728.04x = 12,349,748.63
  5. Step 5: Solve for x
    x = 12,349,748.63/3,728.04
  6. Step 6: Final answer
    x = 3,312.67

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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.