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Finding the Fourth Proportional to 4,972.40, 6,862.47 and 2,983.45

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Solution

The fourth proportional to 4,972.40, 6,862.47 and 2,983.45 is: 4,117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.40 : 6,862.47 = 2,983.45 : x
  2. Step 2: Convert to fraction form
    4,972.40/6,862.47 = 2,983.45/x
  3. Step 3: Cross multiply
    4,972.40x = 6,862.47 × 2,983.45
  4. Step 4: Simplify right side
    4,972.40x = 20,473,786.89
  5. Step 5: Solve for x
    x = 20,473,786.89/4,972.40
  6. Step 6: Final answer
    x = 4,117.49

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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.