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Finding the Fourth Proportional to 4,604.40, 6,857.76 and 4,582.08

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Solution

The fourth proportional to 4,604.40, 6,857.76 and 4,582.08 is: 6,824.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,604.40 : 6,857.76 = 4,582.08 : x
  2. Step 2: Convert to fraction form
    4,604.40/6,857.76 = 4,582.08/x
  3. Step 3: Cross multiply
    4,604.40x = 6,857.76 × 4,582.08
  4. Step 4: Simplify right side
    4,604.40x = 31,422,804.94
  5. Step 5: Solve for x
    x = 31,422,804.94/4,604.40
  6. Step 6: Final answer
    x = 6,824.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.