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Finding the Fourth Proportional to 5,302.68, 7,954 and 1,300.08

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Solution

The fourth proportional to 5,302.68, 7,954 and 1,300.08 is: 1,950.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.68 : 7,954 = 1,300.08 : x
  2. Step 2: Convert to fraction form
    5,302.68/7,954 = 1,300.08/x
  3. Step 3: Cross multiply
    5,302.68x = 7,954 × 1,300.08
  4. Step 4: Simplify right side
    5,302.68x = 10,340,836.32
  5. Step 5: Solve for x
    x = 10,340,836.32/5,302.68
  6. Step 6: Final answer
    x = 1,950.12

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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.