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Finding the Fourth Proportional to 4,783.36, 6,583.06 and 4,047

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Solution

The fourth proportional to 4,783.36, 6,583.06 and 4,047 is: 5,569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.36 : 6,583.06 = 4,047 : x
  2. Step 2: Convert to fraction form
    4,783.36/6,583.06 = 4,047/x
  3. Step 3: Cross multiply
    4,783.36x = 6,583.06 × 4,047
  4. Step 4: Simplify right side
    4,783.36x = 26,641,643.82
  5. Step 5: Solve for x
    x = 26,641,643.82/4,783.36
  6. Step 6: Final answer
    x = 5,569.65

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