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Finding the Fourth Proportional to 5,271.99, 7,904.13 and 3,047.69

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Solution

The fourth proportional to 5,271.99, 7,904.13 and 3,047.69 is: 4,569.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.99 : 7,904.13 = 3,047.69 : x
  2. Step 2: Convert to fraction form
    5,271.99/7,904.13 = 3,047.69/x
  3. Step 3: Cross multiply
    5,271.99x = 7,904.13 × 3,047.69
  4. Step 4: Simplify right side
    5,271.99x = 24,089,298.44
  5. Step 5: Solve for x
    x = 24,089,298.44/5,271.99
  6. Step 6: Final answer
    x = 4,569.30

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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.