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Finding the Fourth Proportional to 6,506.30, 8,978.64 and 3,522.10

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Solution

The fourth proportional to 6,506.30, 8,978.64 and 3,522.10 is: 4,860.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.30 : 8,978.64 = 3,522.10 : x
  2. Step 2: Convert to fraction form
    6,506.30/8,978.64 = 3,522.10/x
  3. Step 3: Cross multiply
    6,506.30x = 8,978.64 × 3,522.10
  4. Step 4: Simplify right side
    6,506.30x = 31,623,667.94
  5. Step 5: Solve for x
    x = 31,623,667.94/6,506.30
  6. Step 6: Final answer
    x = 4,860.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.