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Finding the Fourth Proportional to 4,657.30, 6,427.07 and 2,561.42

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Solution

The fourth proportional to 4,657.30, 6,427.07 and 2,561.42 is: 3,534.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.30 : 6,427.07 = 2,561.42 : x
  2. Step 2: Convert to fraction form
    4,657.30/6,427.07 = 2,561.42/x
  3. Step 3: Cross multiply
    4,657.30x = 6,427.07 × 2,561.42
  4. Step 4: Simplify right side
    4,657.30x = 16,462,448.11
  5. Step 5: Solve for x
    x = 16,462,448.11/4,657.30
  6. Step 6: Final answer
    x = 3,534.76

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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.