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Finding the Fourth Proportional to 4,364.46, 6,545.49 and 2,977.53

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Solution

The fourth proportional to 4,364.46, 6,545.49 and 2,977.53 is: 4,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.46 : 6,545.49 = 2,977.53 : x
  2. Step 2: Convert to fraction form
    4,364.46/6,545.49 = 2,977.53/x
  3. Step 3: Cross multiply
    4,364.46x = 6,545.49 × 2,977.53
  4. Step 4: Simplify right side
    4,364.46x = 19,489,392.84
  5. Step 5: Solve for x
    x = 19,489,392.84/4,364.46
  6. Step 6: Final answer
    x = 4,465.48

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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.