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Finding the Fourth Proportional to 5,980.67, 8,966.54 and 4,126.50

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Solution

The fourth proportional to 5,980.67, 8,966.54 and 4,126.50 is: 6,186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,980.67 : 8,966.54 = 4,126.50 : x
  2. Step 2: Convert to fraction form
    5,980.67/8,966.54 = 4,126.50/x
  3. Step 3: Cross multiply
    5,980.67x = 8,966.54 × 4,126.50
  4. Step 4: Simplify right side
    5,980.67x = 37,000,382.48
  5. Step 5: Solve for x
    x = 37,000,382.48/5,980.67
  6. Step 6: Final answer
    x = 6,186.66

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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.