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Finding the Fourth Proportional to 6,354.21, 9,533.59 and 3,860.48

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Solution

The fourth proportional to 6,354.21, 9,533.59 and 3,860.48 is: 5,792.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.21 : 9,533.59 = 3,860.48 : x
  2. Step 2: Convert to fraction form
    6,354.21/9,533.59 = 3,860.48/x
  3. Step 3: Cross multiply
    6,354.21x = 9,533.59 × 3,860.48
  4. Step 4: Simplify right side
    6,354.21x = 36,804,264.50
  5. Step 5: Solve for x
    x = 36,804,264.50/6,354.21
  6. Step 6: Final answer
    x = 5,792.11

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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.