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Finding the Fourth Proportional to 4,582.40, 6,309.12 and 3,653.12

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Solution

The fourth proportional to 4,582.40, 6,309.12 and 3,653.12 is: 5,029.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,582.40 : 6,309.12 = 3,653.12 : x
  2. Step 2: Convert to fraction form
    4,582.40/6,309.12 = 3,653.12/x
  3. Step 3: Cross multiply
    4,582.40x = 6,309.12 × 3,653.12
  4. Step 4: Simplify right side
    4,582.40x = 23,047,972.45
  5. Step 5: Solve for x
    x = 23,047,972.45/4,582.40
  6. Step 6: Final answer
    x = 5,029.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.