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Finding the Fourth Proportional to 5,473.47, 8,210.22 and 1,577.88

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Solution

The fourth proportional to 5,473.47, 8,210.22 and 1,577.88 is: 2,366.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.47 : 8,210.22 = 1,577.88 : x
  2. Step 2: Convert to fraction form
    5,473.47/8,210.22 = 1,577.88/x
  3. Step 3: Cross multiply
    5,473.47x = 8,210.22 × 1,577.88
  4. Step 4: Simplify right side
    5,473.47x = 12,954,741.93
  5. Step 5: Solve for x
    x = 12,954,741.93/5,473.47
  6. Step 6: Final answer
    x = 2,366.82

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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.