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Finding the Fourth Proportional to 5,307.56, 7,961.31 and 1,358.81

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Solution

The fourth proportional to 5,307.56, 7,961.31 and 1,358.81 is: 2,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.56 : 7,961.31 = 1,358.81 : x
  2. Step 2: Convert to fraction form
    5,307.56/7,961.31 = 1,358.81/x
  3. Step 3: Cross multiply
    5,307.56x = 7,961.31 × 1,358.81
  4. Step 4: Simplify right side
    5,307.56x = 10,817,907.64
  5. Step 5: Solve for x
    x = 10,817,907.64/5,307.56
  6. Step 6: Final answer
    x = 2,038.21

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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.