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Finding the Fourth Proportional to 4,655.43, 6,424.80 and 2,888.22

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Solution

The fourth proportional to 4,655.43, 6,424.80 and 2,888.22 is: 3,985.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.43 : 6,424.80 = 2,888.22 : x
  2. Step 2: Convert to fraction form
    4,655.43/6,424.80 = 2,888.22/x
  3. Step 3: Cross multiply
    4,655.43x = 6,424.80 × 2,888.22
  4. Step 4: Simplify right side
    4,655.43x = 18,556,235.86
  5. Step 5: Solve for x
    x = 18,556,235.86/4,655.43
  6. Step 6: Final answer
    x = 3,985.93

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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.