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Finding the Fourth Proportional to 4,676.36, 7,009.80 and 3,033.95

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Solution

The fourth proportional to 4,676.36, 7,009.80 and 3,033.95 is: 4,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,676.36 : 7,009.80 = 3,033.95 : x
  2. Step 2: Convert to fraction form
    4,676.36/7,009.80 = 3,033.95/x
  3. Step 3: Cross multiply
    4,676.36x = 7,009.80 × 3,033.95
  4. Step 4: Simplify right side
    4,676.36x = 21,267,382.71
  5. Step 5: Solve for x
    x = 21,267,382.71/4,676.36
  6. Step 6: Final answer
    x = 4,547.85

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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.