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Finding the Fourth Proportional to 2,872.47, 4,284.04 and 2,823.26

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Solution

The fourth proportional to 2,872.47, 4,284.04 and 2,823.26 is: 4,210.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872.47 : 4,284.04 = 2,823.26 : x
  2. Step 2: Convert to fraction form
    2,872.47/4,284.04 = 2,823.26/x
  3. Step 3: Cross multiply
    2,872.47x = 4,284.04 × 2,823.26
  4. Step 4: Simplify right side
    2,872.47x = 12,094,962.42
  5. Step 5: Solve for x
    x = 12,094,962.42/2,872.47
  6. Step 6: Final answer
    x = 4,210.65

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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.