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Finding the Fourth Proportional to 4,862.84, 6,710.54 and 2,738.48

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Solution

The fourth proportional to 4,862.84, 6,710.54 and 2,738.48 is: 3,779.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.84 : 6,710.54 = 2,738.48 : x
  2. Step 2: Convert to fraction form
    4,862.84/6,710.54 = 2,738.48/x
  3. Step 3: Cross multiply
    4,862.84x = 6,710.54 × 2,738.48
  4. Step 4: Simplify right side
    4,862.84x = 18,376,679.58
  5. Step 5: Solve for x
    x = 18,376,679.58/4,862.84
  6. Step 6: Final answer
    x = 3,779.00

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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.