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Finding the Fourth Proportional to 5,915.37, 8,870.76 and 1,966.49

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Solution

The fourth proportional to 5,915.37, 8,870.76 and 1,966.49 is: 2,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,915.37 : 8,870.76 = 1,966.49 : x
  2. Step 2: Convert to fraction form
    5,915.37/8,870.76 = 1,966.49/x
  3. Step 3: Cross multiply
    5,915.37x = 8,870.76 × 1,966.49
  4. Step 4: Simplify right side
    5,915.37x = 17,444,216.48
  5. Step 5: Solve for x
    x = 17,444,216.48/5,915.37
  6. Step 6: Final answer
    x = 2,948.96

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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.