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Finding the Fourth Proportional to 3,024.72, 4,506.66 and 2,826

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Solution

The fourth proportional to 3,024.72, 4,506.66 and 2,826 is: 4,210.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.72 : 4,506.66 = 2,826 : x
  2. Step 2: Convert to fraction form
    3,024.72/4,506.66 = 2,826/x
  3. Step 3: Cross multiply
    3,024.72x = 4,506.66 × 2,826
  4. Step 4: Simplify right side
    3,024.72x = 12,735,821.16
  5. Step 5: Solve for x
    x = 12,735,821.16/3,024.72
  6. Step 6: Final answer
    x = 4,210.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.