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Finding the Fourth Proportional to 4,965.12, 6,860.16 and 4,135.68

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Solution

The fourth proportional to 4,965.12, 6,860.16 and 4,135.68 is: 5,714.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.12 : 6,860.16 = 4,135.68 : x
  2. Step 2: Convert to fraction form
    4,965.12/6,860.16 = 4,135.68/x
  3. Step 3: Cross multiply
    4,965.12x = 6,860.16 × 4,135.68
  4. Step 4: Simplify right side
    4,965.12x = 28,371,426.51
  5. Step 5: Solve for x
    x = 28,371,426.51/4,965.12
  6. Step 6: Final answer
    x = 5,714.15

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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.