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Finding the Fourth Proportional to 4,762.16, 6,573.84 and 3,583.52

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Solution

The fourth proportional to 4,762.16, 6,573.84 and 3,583.52 is: 4,946.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.16 : 6,573.84 = 3,583.52 : x
  2. Step 2: Convert to fraction form
    4,762.16/6,573.84 = 3,583.52/x
  3. Step 3: Cross multiply
    4,762.16x = 6,573.84 × 3,583.52
  4. Step 4: Simplify right side
    4,762.16x = 23,557,487.12
  5. Step 5: Solve for x
    x = 23,557,487.12/4,762.16
  6. Step 6: Final answer
    x = 4,946.81

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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.