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Finding the Fourth Proportional to 6,538.40, 9,811.80 and 3,618.80

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Solution

The fourth proportional to 6,538.40, 9,811.80 and 3,618.80 is: 5,430.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,538.40 : 9,811.80 = 3,618.80 : x
  2. Step 2: Convert to fraction form
    6,538.40/9,811.80 = 3,618.80/x
  3. Step 3: Cross multiply
    6,538.40x = 9,811.80 × 3,618.80
  4. Step 4: Simplify right side
    6,538.40x = 35,506,941.84
  5. Step 5: Solve for x
    x = 35,506,941.84/6,538.40
  6. Step 6: Final answer
    x = 5,430.52

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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.