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Finding the Fourth Proportional to 4,852.16, 6,715.22 and 4,735.68

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Solution

The fourth proportional to 4,852.16, 6,715.22 and 4,735.68 is: 6,554.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.16 : 6,715.22 = 4,735.68 : x
  2. Step 2: Convert to fraction form
    4,852.16/6,715.22 = 4,735.68/x
  3. Step 3: Cross multiply
    4,852.16x = 6,715.22 × 4,735.68
  4. Step 4: Simplify right side
    4,852.16x = 31,801,109.37
  5. Step 5: Solve for x
    x = 31,801,109.37/4,852.16
  6. Step 6: Final answer
    x = 6,554.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.