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Finding the Fourth Proportional to 4,696.48, 7,031.28 and 3,724

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Solution

The fourth proportional to 4,696.48, 7,031.28 and 3,724 is: 5,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,696.48 : 7,031.28 = 3,724 : x
  2. Step 2: Convert to fraction form
    4,696.48/7,031.28 = 3,724/x
  3. Step 3: Cross multiply
    4,696.48x = 7,031.28 × 3,724
  4. Step 4: Simplify right side
    4,696.48x = 26,184,486.72
  5. Step 5: Solve for x
    x = 26,184,486.72/4,696.48
  6. Step 6: Final answer
    x = 5,575.34

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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.