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Finding the Fourth Proportional to 3,658.16, 5,048.46 and 2,870.84

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Solution

The fourth proportional to 3,658.16, 5,048.46 and 2,870.84 is: 3,961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.16 : 5,048.46 = 2,870.84 : x
  2. Step 2: Convert to fraction form
    3,658.16/5,048.46 = 2,870.84/x
  3. Step 3: Cross multiply
    3,658.16x = 5,048.46 × 2,870.84
  4. Step 4: Simplify right side
    3,658.16x = 14,493,333.53
  5. Step 5: Solve for x
    x = 14,493,333.53/3,658.16
  6. Step 6: Final answer
    x = 3,961.92

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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.