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Finding the Fourth Proportional to 4,823.40, 7,230.48 and 1,534.68

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Solution

The fourth proportional to 4,823.40, 7,230.48 and 1,534.68 is: 2,300.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.40 : 7,230.48 = 1,534.68 : x
  2. Step 2: Convert to fraction form
    4,823.40/7,230.48 = 1,534.68/x
  3. Step 3: Cross multiply
    4,823.40x = 7,230.48 × 1,534.68
  4. Step 4: Simplify right side
    4,823.40x = 11,096,473.05
  5. Step 5: Solve for x
    x = 11,096,473.05/4,823.40
  6. Step 6: Final answer
    x = 2,300.55

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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.