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Finding the Fourth Proportional to 4,670.56, 7,007.19 and 1,383.74

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Solution

The fourth proportional to 4,670.56, 7,007.19 and 1,383.74 is: 2,076.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.56 : 7,007.19 = 1,383.74 : x
  2. Step 2: Convert to fraction form
    4,670.56/7,007.19 = 1,383.74/x
  3. Step 3: Cross multiply
    4,670.56x = 7,007.19 × 1,383.74
  4. Step 4: Simplify right side
    4,670.56x = 9,696,129.09
  5. Step 5: Solve for x
    x = 9,696,129.09/4,670.56
  6. Step 6: Final answer
    x = 2,076.01

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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.