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Finding the Fourth Proportional to 4,737.95, 6,537.66 and 2,748.14

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Solution

The fourth proportional to 4,737.95, 6,537.66 and 2,748.14 is: 3,792.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.95 : 6,537.66 = 2,748.14 : x
  2. Step 2: Convert to fraction form
    4,737.95/6,537.66 = 2,748.14/x
  3. Step 3: Cross multiply
    4,737.95x = 6,537.66 × 2,748.14
  4. Step 4: Simplify right side
    4,737.95x = 17,966,372.26
  5. Step 5: Solve for x
    x = 17,966,372.26/4,737.95
  6. Step 6: Final answer
    x = 3,792.02

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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.