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Finding the Fourth Proportional to 4,767.02, 6,578.50 and 2,671.14

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Solution

The fourth proportional to 4,767.02, 6,578.50 and 2,671.14 is: 3,686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.02 : 6,578.50 = 2,671.14 : x
  2. Step 2: Convert to fraction form
    4,767.02/6,578.50 = 2,671.14/x
  3. Step 3: Cross multiply
    4,767.02x = 6,578.50 × 2,671.14
  4. Step 4: Simplify right side
    4,767.02x = 17,572,094.49
  5. Step 5: Solve for x
    x = 17,572,094.49/4,767.02
  6. Step 6: Final answer
    x = 3,686.18

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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.