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Finding the Fourth Proportional to 4,646.87, 6,412.54 and 2,522.30

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Solution

The fourth proportional to 4,646.87, 6,412.54 and 2,522.30 is: 3,480.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,646.87 : 6,412.54 = 2,522.30 : x
  2. Step 2: Convert to fraction form
    4,646.87/6,412.54 = 2,522.30/x
  3. Step 3: Cross multiply
    4,646.87x = 6,412.54 × 2,522.30
  4. Step 4: Simplify right side
    4,646.87x = 16,174,337.03
  5. Step 5: Solve for x
    x = 16,174,337.03/4,646.87
  6. Step 6: Final answer
    x = 3,480.69

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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.