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Finding the Fourth Proportional to 5,666.70, 8,504.10 and 2,382.15

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Solution

The fourth proportional to 5,666.70, 8,504.10 and 2,382.15 is: 3,574.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.70 : 8,504.10 = 2,382.15 : x
  2. Step 2: Convert to fraction form
    5,666.70/8,504.10 = 2,382.15/x
  3. Step 3: Cross multiply
    5,666.70x = 8,504.10 × 2,382.15
  4. Step 4: Simplify right side
    5,666.70x = 20,258,041.82
  5. Step 5: Solve for x
    x = 20,258,041.82/5,666.70
  6. Step 6: Final answer
    x = 3,574.93

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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.