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Finding the Fourth Proportional to 3,865.58, 5,328.27 and 3,024.93

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Solution

The fourth proportional to 3,865.58, 5,328.27 and 3,024.93 is: 4,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.58 : 5,328.27 = 3,024.93 : x
  2. Step 2: Convert to fraction form
    3,865.58/5,328.27 = 3,024.93/x
  3. Step 3: Cross multiply
    3,865.58x = 5,328.27 × 3,024.93
  4. Step 4: Simplify right side
    3,865.58x = 16,117,643.77
  5. Step 5: Solve for x
    x = 16,117,643.77/3,865.58
  6. Step 6: Final answer
    x = 4,169.53

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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.