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Finding the Fourth Proportional to 3,033.56, 4,547.64 and 2,762.66

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Solution

The fourth proportional to 3,033.56, 4,547.64 and 2,762.66 is: 4,141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,033.56 : 4,547.64 = 2,762.66 : x
  2. Step 2: Convert to fraction form
    3,033.56/4,547.64 = 2,762.66/x
  3. Step 3: Cross multiply
    3,033.56x = 4,547.64 × 2,762.66
  4. Step 4: Simplify right side
    3,033.56x = 12,563,583.12
  5. Step 5: Solve for x
    x = 12,563,583.12/3,033.56
  6. Step 6: Final answer
    x = 4,141.53

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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.