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Finding the Fourth Proportional to 3,586.73, 4,953.69 and 3,411.77

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Solution

The fourth proportional to 3,586.73, 4,953.69 and 3,411.77 is: 4,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.73 : 4,953.69 = 3,411.77 : x
  2. Step 2: Convert to fraction form
    3,586.73/4,953.69 = 3,411.77/x
  3. Step 3: Cross multiply
    3,586.73x = 4,953.69 × 3,411.77
  4. Step 4: Simplify right side
    3,586.73x = 16,900,826.16
  5. Step 5: Solve for x
    x = 16,900,826.16/3,586.73
  6. Step 6: Final answer
    x = 4,712.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.