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Finding the Fourth Proportional to 4,588.92, 6,874.74 and 4,537.80

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Solution

The fourth proportional to 4,588.92, 6,874.74 and 4,537.80 is: 6,798.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.92 : 6,874.74 = 4,537.80 : x
  2. Step 2: Convert to fraction form
    4,588.92/6,874.74 = 4,537.80/x
  3. Step 3: Cross multiply
    4,588.92x = 6,874.74 × 4,537.80
  4. Step 4: Simplify right side
    4,588.92x = 31,196,195.17
  5. Step 5: Solve for x
    x = 31,196,195.17/4,588.92
  6. Step 6: Final answer
    x = 6,798.16

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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.