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Finding the Fourth Proportional to 4,277.65, 5,902.86 and 2,484.31

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Solution

The fourth proportional to 4,277.65, 5,902.86 and 2,484.31 is: 3,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277.65 : 5,902.86 = 2,484.31 : x
  2. Step 2: Convert to fraction form
    4,277.65/5,902.86 = 2,484.31/x
  3. Step 3: Cross multiply
    4,277.65x = 5,902.86 × 2,484.31
  4. Step 4: Simplify right side
    4,277.65x = 14,664,534.13
  5. Step 5: Solve for x
    x = 14,664,534.13/4,277.65
  6. Step 6: Final answer
    x = 3,428.18

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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.