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Finding the Fourth Proportional to 3,312.64, 4,568.40 and 2,564.20

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Solution

The fourth proportional to 3,312.64, 4,568.40 and 2,564.20 is: 3,536.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.64 : 4,568.40 = 2,564.20 : x
  2. Step 2: Convert to fraction form
    3,312.64/4,568.40 = 2,564.20/x
  3. Step 3: Cross multiply
    3,312.64x = 4,568.40 × 2,564.20
  4. Step 4: Simplify right side
    3,312.64x = 11,714,291.28
  5. Step 5: Solve for x
    x = 11,714,291.28/3,312.64
  6. Step 6: Final answer
    x = 3,536.24

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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.