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Finding the Fourth Proportional to 5,411.84, 7,460.17 and 4,230.86

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Solution

The fourth proportional to 5,411.84, 7,460.17 and 4,230.86 is: 5,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.84 : 7,460.17 = 4,230.86 : x
  2. Step 2: Convert to fraction form
    5,411.84/7,460.17 = 4,230.86/x
  3. Step 3: Cross multiply
    5,411.84x = 7,460.17 × 4,230.86
  4. Step 4: Simplify right side
    5,411.84x = 31,562,886.97
  5. Step 5: Solve for x
    x = 31,562,886.97/5,411.84
  6. Step 6: Final answer
    x = 5,832.20

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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.