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Finding the Fourth Proportional to 4,762.36, 6,569.67 and 3,085.21

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Solution

The fourth proportional to 4,762.36, 6,569.67 and 3,085.21 is: 4,256.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.36 : 6,569.67 = 3,085.21 : x
  2. Step 2: Convert to fraction form
    4,762.36/6,569.67 = 3,085.21/x
  3. Step 3: Cross multiply
    4,762.36x = 6,569.67 × 3,085.21
  4. Step 4: Simplify right side
    4,762.36x = 20,268,811.58
  5. Step 5: Solve for x
    x = 20,268,811.58/4,762.36
  6. Step 6: Final answer
    x = 4,256.04

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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.