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Finding the Fourth Proportional to 4,853.61, 7,281.63 and 1,566.63

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Solution

The fourth proportional to 4,853.61, 7,281.63 and 1,566.63 is: 2,350.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,853.61 : 7,281.63 = 1,566.63 : x
  2. Step 2: Convert to fraction form
    4,853.61/7,281.63 = 1,566.63/x
  3. Step 3: Cross multiply
    4,853.61x = 7,281.63 × 1,566.63
  4. Step 4: Simplify right side
    4,853.61x = 11,407,620.01
  5. Step 5: Solve for x
    x = 11,407,620.01/4,853.61
  6. Step 6: Final answer
    x = 2,350.34

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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.