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Finding the Fourth Proportional to 3,828.64, 5,746.80 and 2,972.32

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Solution

The fourth proportional to 3,828.64, 5,746.80 and 2,972.32 is: 4,461.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.64 : 5,746.80 = 2,972.32 : x
  2. Step 2: Convert to fraction form
    3,828.64/5,746.80 = 2,972.32/x
  3. Step 3: Cross multiply
    3,828.64x = 5,746.80 × 2,972.32
  4. Step 4: Simplify right side
    3,828.64x = 17,081,328.58
  5. Step 5: Solve for x
    x = 17,081,328.58/3,828.64
  6. Step 6: Final answer
    x = 4,461.46

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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.