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Finding the Fourth Proportional to 4,670.36, 7,004.91 and 1,383.80

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Solution

The fourth proportional to 4,670.36, 7,004.91 and 1,383.80 is: 2,075.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.36 : 7,004.91 = 1,383.80 : x
  2. Step 2: Convert to fraction form
    4,670.36/7,004.91 = 1,383.80/x
  3. Step 3: Cross multiply
    4,670.36x = 7,004.91 × 1,383.80
  4. Step 4: Simplify right side
    4,670.36x = 9,693,394.46
  5. Step 5: Solve for x
    x = 9,693,394.46/4,670.36
  6. Step 6: Final answer
    x = 2,075.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.