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Finding the Fourth Proportional to 5,690.16, 7,848.72 and 4,014

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Solution

The fourth proportional to 5,690.16, 7,848.72 and 4,014 is: 5,536.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.16 : 7,848.72 = 4,014 : x
  2. Step 2: Convert to fraction form
    5,690.16/7,848.72 = 4,014/x
  3. Step 3: Cross multiply
    5,690.16x = 7,848.72 × 4,014
  4. Step 4: Simplify right side
    5,690.16x = 31,504,762.08
  5. Step 5: Solve for x
    x = 31,504,762.08/5,690.16
  6. Step 6: Final answer
    x = 5,536.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.