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Finding the Fourth Proportional to 5,924.64, 8,885.03 and 1,975.05

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Solution

The fourth proportional to 5,924.64, 8,885.03 and 1,975.05 is: 2,961.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.64 : 8,885.03 = 1,975.05 : x
  2. Step 2: Convert to fraction form
    5,924.64/8,885.03 = 1,975.05/x
  3. Step 3: Cross multiply
    5,924.64x = 8,885.03 × 1,975.05
  4. Step 4: Simplify right side
    5,924.64x = 17,548,368.63
  5. Step 5: Solve for x
    x = 17,548,368.63/5,924.64
  6. Step 6: Final answer
    x = 2,961.93

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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.