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Finding the Fourth Proportional to 5,473.48, 8,210.16 and 1,577.76

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Solution

The fourth proportional to 5,473.48, 8,210.16 and 1,577.76 is: 2,366.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,473.48 : 8,210.16 = 1,577.76 : x
  2. Step 2: Convert to fraction form
    5,473.48/8,210.16 = 1,577.76/x
  3. Step 3: Cross multiply
    5,473.48x = 8,210.16 × 1,577.76
  4. Step 4: Simplify right side
    5,473.48x = 12,953,662.04
  5. Step 5: Solve for x
    x = 12,953,662.04/5,473.48
  6. Step 6: Final answer
    x = 2,366.62

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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.