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Finding the Fourth Proportional to 4,866.32, 7,297.04 and 1,577.32

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Solution

The fourth proportional to 4,866.32, 7,297.04 and 1,577.32 is: 2,365.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,866.32 : 7,297.04 = 1,577.32 : x
  2. Step 2: Convert to fraction form
    4,866.32/7,297.04 = 1,577.32/x
  3. Step 3: Cross multiply
    4,866.32x = 7,297.04 × 1,577.32
  4. Step 4: Simplify right side
    4,866.32x = 11,509,767.13
  5. Step 5: Solve for x
    x = 11,509,767.13/4,866.32
  6. Step 6: Final answer
    x = 2,365.19

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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.