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Finding the Fourth Proportional to 4,971.96, 7,458 and 3,020.28

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Solution

The fourth proportional to 4,971.96, 7,458 and 3,020.28 is: 4,530.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.96 : 7,458 = 3,020.28 : x
  2. Step 2: Convert to fraction form
    4,971.96/7,458 = 3,020.28/x
  3. Step 3: Cross multiply
    4,971.96x = 7,458 × 3,020.28
  4. Step 4: Simplify right side
    4,971.96x = 22,525,248.24
  5. Step 5: Solve for x
    x = 22,525,248.24/4,971.96
  6. Step 6: Final answer
    x = 4,530.46

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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.