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Finding the Fourth Proportional to 4,636.00, 6,397.67 and 2,646.51

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Solution

The fourth proportional to 4,636.00, 6,397.67 and 2,646.51 is: 3,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.00 : 6,397.67 = 2,646.51 : x
  2. Step 2: Convert to fraction form
    4,636.00/6,397.67 = 2,646.51/x
  3. Step 3: Cross multiply
    4,636.00x = 6,397.67 × 2,646.51
  4. Step 4: Simplify right side
    4,636.00x = 16,931,465.64
  5. Step 5: Solve for x
    x = 16,931,465.64/4,636.00
  6. Step 6: Final answer
    x = 3,652.18

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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.