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Finding the Fourth Proportional to 5,271.68, 7,907.42 and 3,053.82

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Solution

The fourth proportional to 5,271.68, 7,907.42 and 3,053.82 is: 4,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.68 : 7,907.42 = 3,053.82 : x
  2. Step 2: Convert to fraction form
    5,271.68/7,907.42 = 3,053.82/x
  3. Step 3: Cross multiply
    5,271.68x = 7,907.42 × 3,053.82
  4. Step 4: Simplify right side
    5,271.68x = 24,147,837.34
  5. Step 5: Solve for x
    x = 24,147,837.34/5,271.68
  6. Step 6: Final answer
    x = 4,580.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.