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Finding the Fourth Proportional to 3,539.98, 5,305.38 and 1,457.63

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Solution

The fourth proportional to 3,539.98, 5,305.38 and 1,457.63 is: 2,184.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,539.98 : 5,305.38 = 1,457.63 : x
  2. Step 2: Convert to fraction form
    3,539.98/5,305.38 = 1,457.63/x
  3. Step 3: Cross multiply
    3,539.98x = 5,305.38 × 1,457.63
  4. Step 4: Simplify right side
    3,539.98x = 7,733,254.52
  5. Step 5: Solve for x
    x = 7,733,254.52/3,539.98
  6. Step 6: Final answer
    x = 2,184.55

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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.