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Finding the Fourth Proportional to 4,566.51, 6,298.65 and 2,799

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Solution

The fourth proportional to 4,566.51, 6,298.65 and 2,799 is: 3,860.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,566.51 : 6,298.65 = 2,799 : x
  2. Step 2: Convert to fraction form
    4,566.51/6,298.65 = 2,799/x
  3. Step 3: Cross multiply
    4,566.51x = 6,298.65 × 2,799
  4. Step 4: Simplify right side
    4,566.51x = 17,629,921.35
  5. Step 5: Solve for x
    x = 17,629,921.35/4,566.51
  6. Step 6: Final answer
    x = 3,860.70

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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.