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Finding the Fourth Proportional to 5,223.60, 7,832.72 and 1,758.32

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Solution

The fourth proportional to 5,223.60, 7,832.72 and 1,758.32 is: 2,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.60 : 7,832.72 = 1,758.32 : x
  2. Step 2: Convert to fraction form
    5,223.60/7,832.72 = 1,758.32/x
  3. Step 3: Cross multiply
    5,223.60x = 7,832.72 × 1,758.32
  4. Step 4: Simplify right side
    5,223.60x = 13,772,428.23
  5. Step 5: Solve for x
    x = 13,772,428.23/5,223.60
  6. Step 6: Final answer
    x = 2,636.58

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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.