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Finding the Fourth Proportional to 5,666.64, 8,500.08 and 1,969

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Solution

The fourth proportional to 5,666.64, 8,500.08 and 1,969 is: 2,953.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.64 : 8,500.08 = 1,969 : x
  2. Step 2: Convert to fraction form
    5,666.64/8,500.08 = 1,969/x
  3. Step 3: Cross multiply
    5,666.64x = 8,500.08 × 1,969
  4. Step 4: Simplify right side
    5,666.64x = 16,736,657.52
  5. Step 5: Solve for x
    x = 16,736,657.52/5,666.64
  6. Step 6: Final answer
    x = 2,953.54

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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.