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Finding the Fourth Proportional to 4,577.46, 6,866.16 and 1,655.76

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Solution

The fourth proportional to 4,577.46, 6,866.16 and 1,655.76 is: 2,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,577.46 : 6,866.16 = 1,655.76 : x
  2. Step 2: Convert to fraction form
    4,577.46/6,866.16 = 1,655.76/x
  3. Step 3: Cross multiply
    4,577.46x = 6,866.16 × 1,655.76
  4. Step 4: Simplify right side
    4,577.46x = 11,368,713.08
  5. Step 5: Solve for x
    x = 11,368,713.08/4,577.46
  6. Step 6: Final answer
    x = 2,483.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.