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Finding the Fourth Proportional to 4,919, 7,394.70 and 4,558.16

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Solution

The fourth proportional to 4,919, 7,394.70 and 4,558.16 is: 6,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,919 : 7,394.70 = 4,558.16 : x
  2. Step 2: Convert to fraction form
    4,919/7,394.70 = 4,558.16/x
  3. Step 3: Cross multiply
    4,919x = 7,394.70 × 4,558.16
  4. Step 4: Simplify right side
    4,919x = 33,706,225.75
  5. Step 5: Solve for x
    x = 33,706,225.75/4,919
  6. Step 6: Final answer
    x = 6,852.25

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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.