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Finding the Fourth Proportional to 4,549.25, 6,823.62 and 1,915.64

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Solution

The fourth proportional to 4,549.25, 6,823.62 and 1,915.64 is: 2,873.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,549.25 : 6,823.62 = 1,915.64 : x
  2. Step 2: Convert to fraction form
    4,549.25/6,823.62 = 1,915.64/x
  3. Step 3: Cross multiply
    4,549.25x = 6,823.62 × 1,915.64
  4. Step 4: Simplify right side
    4,549.25x = 13,071,599.42
  5. Step 5: Solve for x
    x = 13,071,599.42/4,549.25
  6. Step 6: Final answer
    x = 2,873.35

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