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Finding the Fourth Proportional to 3,852.64, 5,317.20 and 2,528.32

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Solution

The fourth proportional to 3,852.64, 5,317.20 and 2,528.32 is: 3,489.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.64 : 5,317.20 = 2,528.32 : x
  2. Step 2: Convert to fraction form
    3,852.64/5,317.20 = 2,528.32/x
  3. Step 3: Cross multiply
    3,852.64x = 5,317.20 × 2,528.32
  4. Step 4: Simplify right side
    3,852.64x = 13,443,583.10
  5. Step 5: Solve for x
    x = 13,443,583.10/3,852.64
  6. Step 6: Final answer
    x = 3,489.45

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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.