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Finding the Fourth Proportional to 3,038.41, 4,555.32 and 1,576.63

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Solution

The fourth proportional to 3,038.41, 4,555.32 and 1,576.63 is: 2,363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,038.41 : 4,555.32 = 1,576.63 : x
  2. Step 2: Convert to fraction form
    3,038.41/4,555.32 = 1,576.63/x
  3. Step 3: Cross multiply
    3,038.41x = 4,555.32 × 1,576.63
  4. Step 4: Simplify right side
    3,038.41x = 7,182,054.17
  5. Step 5: Solve for x
    x = 7,182,054.17/3,038.41
  6. Step 6: Final answer
    x = 2,363.75

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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.