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Finding the Fourth Proportional to 6,038.40, 9,061.40 and 2,575.60

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Solution

The fourth proportional to 6,038.40, 9,061.40 and 2,575.60 is: 3,865.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.40 : 9,061.40 = 2,575.60 : x
  2. Step 2: Convert to fraction form
    6,038.40/9,061.40 = 2,575.60/x
  3. Step 3: Cross multiply
    6,038.40x = 9,061.40 × 2,575.60
  4. Step 4: Simplify right side
    6,038.40x = 23,338,541.84
  5. Step 5: Solve for x
    x = 23,338,541.84/6,038.40
  6. Step 6: Final answer
    x = 3,865.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.