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Finding the Fourth Proportional to 4,862.40, 6,710.01 and 2,974

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Solution

The fourth proportional to 4,862.40, 6,710.01 and 2,974 is: 4,104.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,862.40 : 6,710.01 = 2,974 : x
  2. Step 2: Convert to fraction form
    4,862.40/6,710.01 = 2,974/x
  3. Step 3: Cross multiply
    4,862.40x = 6,710.01 × 2,974
  4. Step 4: Simplify right side
    4,862.40x = 19,955,554.87
  5. Step 5: Solve for x
    x = 19,955,554.87/4,862.40
  6. Step 6: Final answer
    x = 4,104.06

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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.