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Finding the Fourth Proportional to 5,787.56, 8,681.50 and 3,602.60

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Solution

The fourth proportional to 5,787.56, 8,681.50 and 3,602.60 is: 5,404.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.56 : 8,681.50 = 3,602.60 : x
  2. Step 2: Convert to fraction form
    5,787.56/8,681.50 = 3,602.60/x
  3. Step 3: Cross multiply
    5,787.56x = 8,681.50 × 3,602.60
  4. Step 4: Simplify right side
    5,787.56x = 31,275,971.90
  5. Step 5: Solve for x
    x = 31,275,971.90/5,787.56
  6. Step 6: Final answer
    x = 5,404.00

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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.