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Finding the Fourth Proportional to 4,552.65, 6,827.90 and 2,085.93

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Solution

The fourth proportional to 4,552.65, 6,827.90 and 2,085.93 is: 3,128.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,552.65 : 6,827.90 = 2,085.93 : x
  2. Step 2: Convert to fraction form
    4,552.65/6,827.90 = 2,085.93/x
  3. Step 3: Cross multiply
    4,552.65x = 6,827.90 × 2,085.93
  4. Step 4: Simplify right side
    4,552.65x = 14,242,511.02
  5. Step 5: Solve for x
    x = 14,242,511.02/4,552.65
  6. Step 6: Final answer
    x = 3,128.40

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Why These Related Problems?

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