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Finding the Fourth Proportional to 4,842.02, 6,681.74 and 2,746.82

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Solution

The fourth proportional to 4,842.02, 6,681.74 and 2,746.82 is: 3,790.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.02 : 6,681.74 = 2,746.82 : x
  2. Step 2: Convert to fraction form
    4,842.02/6,681.74 = 2,746.82/x
  3. Step 3: Cross multiply
    4,842.02x = 6,681.74 × 2,746.82
  4. Step 4: Simplify right side
    4,842.02x = 18,353,537.07
  5. Step 5: Solve for x
    x = 18,353,537.07/4,842.02
  6. Step 6: Final answer
    x = 3,790.47

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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.