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Finding the Fourth Proportional to 4,613.41, 6,915.25 and 1,980.10

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Solution

The fourth proportional to 4,613.41, 6,915.25 and 1,980.10 is: 2,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.41 : 6,915.25 = 1,980.10 : x
  2. Step 2: Convert to fraction form
    4,613.41/6,915.25 = 1,980.10/x
  3. Step 3: Cross multiply
    4,613.41x = 6,915.25 × 1,980.10
  4. Step 4: Simplify right side
    4,613.41x = 13,692,886.53
  5. Step 5: Solve for x
    x = 13,692,886.53/4,613.41
  6. Step 6: Final answer
    x = 2,968.06

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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.