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Finding the Fourth Proportional to 4,754.32, 7,128.40 and 2,564.60

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Solution

The fourth proportional to 4,754.32, 7,128.40 and 2,564.60 is: 3,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.32 : 7,128.40 = 2,564.60 : x
  2. Step 2: Convert to fraction form
    4,754.32/7,128.40 = 2,564.60/x
  3. Step 3: Cross multiply
    4,754.32x = 7,128.40 × 2,564.60
  4. Step 4: Simplify right side
    4,754.32x = 18,281,494.64
  5. Step 5: Solve for x
    x = 18,281,494.64/4,754.32
  6. Step 6: Final answer
    x = 3,845.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.