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Finding the Fourth Proportional to 4,813.60, 7,209.60 and 4,705.60

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Solution

The fourth proportional to 4,813.60, 7,209.60 and 4,705.60 is: 7,047.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,813.60 : 7,209.60 = 4,705.60 : x
  2. Step 2: Convert to fraction form
    4,813.60/7,209.60 = 4,705.60/x
  3. Step 3: Cross multiply
    4,813.60x = 7,209.60 × 4,705.60
  4. Step 4: Simplify right side
    4,813.60x = 33,925,493.76
  5. Step 5: Solve for x
    x = 33,925,493.76/4,813.60
  6. Step 6: Final answer
    x = 7,047.84

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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.