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Finding the Fourth Proportional to 4,813.68, 7,220.52 and 1,735.60

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Solution

The fourth proportional to 4,813.68, 7,220.52 and 1,735.60 is: 2,603.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.68 : 7,220.52 = 1,735.60 : x
  2. Step 2: Convert to fraction form
    4,813.68/7,220.52 = 1,735.60/x
  3. Step 3: Cross multiply
    4,813.68x = 7,220.52 × 1,735.60
  4. Step 4: Simplify right side
    4,813.68x = 12,531,934.51
  5. Step 5: Solve for x
    x = 12,531,934.51/4,813.68
  6. Step 6: Final answer
    x = 2,603.40

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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.