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Finding the Fourth Proportional to 5,666.28, 8,498.74 and 1,506.61

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Solution

The fourth proportional to 5,666.28, 8,498.74 and 1,506.61 is: 2,259.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.28 : 8,498.74 = 1,506.61 : x
  2. Step 2: Convert to fraction form
    5,666.28/8,498.74 = 1,506.61/x
  3. Step 3: Cross multiply
    5,666.28x = 8,498.74 × 1,506.61
  4. Step 4: Simplify right side
    5,666.28x = 12,804,244.18
  5. Step 5: Solve for x
    x = 12,804,244.18/5,666.28
  6. Step 6: Final answer
    x = 2,259.73

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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.