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Finding the Fourth Proportional to 4,636.48, 6,397.80 and 2,748.10

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Solution

The fourth proportional to 4,636.48, 6,397.80 and 2,748.10 is: 3,792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.48 : 6,397.80 = 2,748.10 : x
  2. Step 2: Convert to fraction form
    4,636.48/6,397.80 = 2,748.10/x
  3. Step 3: Cross multiply
    4,636.48x = 6,397.80 × 2,748.10
  4. Step 4: Simplify right side
    4,636.48x = 17,581,794.18
  5. Step 5: Solve for x
    x = 17,581,794.18/4,636.48
  6. Step 6: Final answer
    x = 3,792.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.