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Finding the Fourth Proportional to 5,300.48, 7,948.02 and 2,011.07

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Solution

The fourth proportional to 5,300.48, 7,948.02 and 2,011.07 is: 3,015.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.48 : 7,948.02 = 2,011.07 : x
  2. Step 2: Convert to fraction form
    5,300.48/7,948.02 = 2,011.07/x
  3. Step 3: Cross multiply
    5,300.48x = 7,948.02 × 2,011.07
  4. Step 4: Simplify right side
    5,300.48x = 15,984,024.58
  5. Step 5: Solve for x
    x = 15,984,024.58/5,300.48
  6. Step 6: Final answer
    x = 3,015.58

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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.