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Finding the Fourth Proportional to 5,300.76, 7,315.72 and 3,204.88

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Solution

The fourth proportional to 5,300.76, 7,315.72 and 3,204.88 is: 4,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.76 : 7,315.72 = 3,204.88 : x
  2. Step 2: Convert to fraction form
    5,300.76/7,315.72 = 3,204.88/x
  3. Step 3: Cross multiply
    5,300.76x = 7,315.72 × 3,204.88
  4. Step 4: Simplify right side
    5,300.76x = 23,446,004.71
  5. Step 5: Solve for x
    x = 23,446,004.71/5,300.76
  6. Step 6: Final answer
    x = 4,423.14

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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.