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Finding the Fourth Proportional to 4,983.80, 7,461.30 and 4,465.40

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Solution

The fourth proportional to 4,983.80, 7,461.30 and 4,465.40 is: 6,685.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.80 : 7,461.30 = 4,465.40 : x
  2. Step 2: Convert to fraction form
    4,983.80/7,461.30 = 4,465.40/x
  3. Step 3: Cross multiply
    4,983.80x = 7,461.30 × 4,465.40
  4. Step 4: Simplify right side
    4,983.80x = 33,317,689.02
  5. Step 5: Solve for x
    x = 33,317,689.02/4,983.80
  6. Step 6: Final answer
    x = 6,685.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.