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Finding the Fourth Proportional to 6,038.48, 9,059.90 and 2,576

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Solution

The fourth proportional to 6,038.48, 9,059.90 and 2,576 is: 3,864.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.48 : 9,059.90 = 2,576 : x
  2. Step 2: Convert to fraction form
    6,038.48/9,059.90 = 2,576/x
  3. Step 3: Cross multiply
    6,038.48x = 9,059.90 × 2,576
  4. Step 4: Simplify right side
    6,038.48x = 23,338,302.40
  5. Step 5: Solve for x
    x = 23,338,302.40/6,038.48
  6. Step 6: Final answer
    x = 3,864.93

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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.