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Finding the Fourth Proportional to 3,683.76, 5,085.47 and 2,842.57

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Solution

The fourth proportional to 3,683.76, 5,085.47 and 2,842.57 is: 3,924.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.76 : 5,085.47 = 2,842.57 : x
  2. Step 2: Convert to fraction form
    3,683.76/5,085.47 = 2,842.57/x
  3. Step 3: Cross multiply
    3,683.76x = 5,085.47 × 2,842.57
  4. Step 4: Simplify right side
    3,683.76x = 14,455,804.46
  5. Step 5: Solve for x
    x = 14,455,804.46/3,683.76
  6. Step 6: Final answer
    x = 3,924.20

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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.