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Finding the Fourth Proportional to 3,636.16, 5,457 and 1,788.32

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Solution

The fourth proportional to 3,636.16, 5,457 and 1,788.32 is: 2,683.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.16 : 5,457 = 1,788.32 : x
  2. Step 2: Convert to fraction form
    3,636.16/5,457 = 1,788.32/x
  3. Step 3: Cross multiply
    3,636.16x = 5,457 × 1,788.32
  4. Step 4: Simplify right side
    3,636.16x = 9,758,862.24
  5. Step 5: Solve for x
    x = 9,758,862.24/3,636.16
  6. Step 6: Final answer
    x = 2,683.84

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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.