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Finding the Fourth Proportional to 4,609.95, 6,915.32 and 1,977.57

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Solution

The fourth proportional to 4,609.95, 6,915.32 and 1,977.57 is: 2,966.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.95 : 6,915.32 = 1,977.57 : x
  2. Step 2: Convert to fraction form
    4,609.95/6,915.32 = 1,977.57/x
  3. Step 3: Cross multiply
    4,609.95x = 6,915.32 × 1,977.57
  4. Step 4: Simplify right side
    4,609.95x = 13,675,519.48
  5. Step 5: Solve for x
    x = 13,675,519.48/4,609.95
  6. Step 6: Final answer
    x = 2,966.53

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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.