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Finding the Fourth Proportional to 5,300.90, 7,316.56 and 3,064.06

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Solution

The fourth proportional to 5,300.90, 7,316.56 and 3,064.06 is: 4,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.90 : 7,316.56 = 3,064.06 : x
  2. Step 2: Convert to fraction form
    5,300.90/7,316.56 = 3,064.06/x
  3. Step 3: Cross multiply
    5,300.90x = 7,316.56 × 3,064.06
  4. Step 4: Simplify right side
    5,300.90x = 22,418,378.83
  5. Step 5: Solve for x
    x = 22,418,378.83/5,300.90
  6. Step 6: Final answer
    x = 4,229.16

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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.