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Finding the Fourth Proportional to 4,871.04, 7,303.86 and 2,271.48

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Solution

The fourth proportional to 4,871.04, 7,303.86 and 2,271.48 is: 3,405.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.04 : 7,303.86 = 2,271.48 : x
  2. Step 2: Convert to fraction form
    4,871.04/7,303.86 = 2,271.48/x
  3. Step 3: Cross multiply
    4,871.04x = 7,303.86 × 2,271.48
  4. Step 4: Simplify right side
    4,871.04x = 16,590,571.91
  5. Step 5: Solve for x
    x = 16,590,571.91/4,871.04
  6. Step 6: Final answer
    x = 3,405.96

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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.