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Finding the Fourth Proportional to 5,572.80, 7,646.40 and 5,313.60

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Solution

The fourth proportional to 5,572.80, 7,646.40 and 5,313.60 is: 7,290.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.80 : 7,646.40 = 5,313.60 : x
  2. Step 2: Convert to fraction form
    5,572.80/7,646.40 = 5,313.60/x
  3. Step 3: Cross multiply
    5,572.80x = 7,646.40 × 5,313.60
  4. Step 4: Simplify right side
    5,572.80x = 40,629,911.04
  5. Step 5: Solve for x
    x = 40,629,911.04/5,572.80
  6. Step 6: Final answer
    x = 7,290.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.