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Finding the Fourth Proportional to 4,868, 7,302.04 and 1,405.28

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Solution

The fourth proportional to 4,868, 7,302.04 and 1,405.28 is: 2,107.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868 : 7,302.04 = 1,405.28 : x
  2. Step 2: Convert to fraction form
    4,868/7,302.04 = 1,405.28/x
  3. Step 3: Cross multiply
    4,868x = 7,302.04 × 1,405.28
  4. Step 4: Simplify right side
    4,868x = 10,261,410.77
  5. Step 5: Solve for x
    x = 10,261,410.77/4,868
  6. Step 6: Final answer
    x = 2,107.93

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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.