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Finding the Fourth Proportional to 4,254.63, 6,381.95 and 1,657.57

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Solution

The fourth proportional to 4,254.63, 6,381.95 and 1,657.57 is: 2,486.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,254.63 : 6,381.95 = 1,657.57 : x
  2. Step 2: Convert to fraction form
    4,254.63/6,381.95 = 1,657.57/x
  3. Step 3: Cross multiply
    4,254.63x = 6,381.95 × 1,657.57
  4. Step 4: Simplify right side
    4,254.63x = 10,578,496.95
  5. Step 5: Solve for x
    x = 10,578,496.95/4,254.63
  6. Step 6: Final answer
    x = 2,486.35

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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.