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Finding the Fourth Proportional to 6,506.25, 8,978.62 and 3,522.08

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Solution

The fourth proportional to 6,506.25, 8,978.62 and 3,522.08 is: 4,860.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.25 : 8,978.62 = 3,522.08 : x
  2. Step 2: Convert to fraction form
    6,506.25/8,978.62 = 3,522.08/x
  3. Step 3: Cross multiply
    6,506.25x = 8,978.62 × 3,522.08
  4. Step 4: Simplify right side
    6,506.25x = 31,623,411.31
  5. Step 5: Solve for x
    x = 31,623,411.31/6,506.25
  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.