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Finding the Fourth Proportional to 4,506.94, 6,758.35 and 1,385.87

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Solution

The fourth proportional to 4,506.94, 6,758.35 and 1,385.87 is: 2,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,506.94 : 6,758.35 = 1,385.87 : x
  2. Step 2: Convert to fraction form
    4,506.94/6,758.35 = 1,385.87/x
  3. Step 3: Cross multiply
    4,506.94x = 6,758.35 × 1,385.87
  4. Step 4: Simplify right side
    4,506.94x = 9,366,160.72
  5. Step 5: Solve for x
    x = 9,366,160.72/4,506.94
  6. Step 6: Final answer
    x = 2,078.16

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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.