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Finding the Fourth Proportional to 5,048.60, 7,570.32 and 2,969

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Solution

The fourth proportional to 5,048.60, 7,570.32 and 2,969 is: 4,451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,048.60 : 7,570.32 = 2,969 : x
  2. Step 2: Convert to fraction form
    5,048.60/7,570.32 = 2,969/x
  3. Step 3: Cross multiply
    5,048.60x = 7,570.32 × 2,969
  4. Step 4: Simplify right side
    5,048.60x = 22,476,280.08
  5. Step 5: Solve for x
    x = 22,476,280.08/5,048.60
  6. Step 6: Final answer
    x = 4,451.98

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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.