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Finding the Fourth Proportional to 5,300.40, 7,316.28 and 3,728.88

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Solution

The fourth proportional to 5,300.40, 7,316.28 and 3,728.88 is: 5,147.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.40 : 7,316.28 = 3,728.88 : x
  2. Step 2: Convert to fraction form
    5,300.40/7,316.28 = 3,728.88/x
  3. Step 3: Cross multiply
    5,300.40x = 7,316.28 × 3,728.88
  4. Step 4: Simplify right side
    5,300.40x = 27,281,530.17
  5. Step 5: Solve for x
    x = 27,281,530.17/5,300.40
  6. Step 6: Final answer
    x = 5,147.07

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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.