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Finding the Fourth Proportional to 3,247.04, 4,871.04 and 1,300.16

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Solution

The fourth proportional to 3,247.04, 4,871.04 and 1,300.16 is: 1,950.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.04 : 4,871.04 = 1,300.16 : x
  2. Step 2: Convert to fraction form
    3,247.04/4,871.04 = 1,300.16/x
  3. Step 3: Cross multiply
    3,247.04x = 4,871.04 × 1,300.16
  4. Step 4: Simplify right side
    3,247.04x = 6,333,131.37
  5. Step 5: Solve for x
    x = 6,333,131.37/3,247.04
  6. Step 6: Final answer
    x = 1,950.43

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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.