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Finding the Fourth Proportional to 5,970.96, 8,956.52 and 2,075.44

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Solution

The fourth proportional to 5,970.96, 8,956.52 and 2,075.44 is: 3,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,970.96 : 8,956.52 = 2,075.44 : x
  2. Step 2: Convert to fraction form
    5,970.96/8,956.52 = 2,075.44/x
  3. Step 3: Cross multiply
    5,970.96x = 8,956.52 × 2,075.44
  4. Step 4: Simplify right side
    5,970.96x = 18,588,719.87
  5. Step 5: Solve for x
    x = 18,588,719.87/5,970.96
  6. Step 6: Final answer
    x = 3,113.19

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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.