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Finding the Fourth Proportional to 4,457.16, 6,146.82 and 3,827.50

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Solution

The fourth proportional to 4,457.16, 6,146.82 and 3,827.50 is: 5,278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.16 : 6,146.82 = 3,827.50 : x
  2. Step 2: Convert to fraction form
    4,457.16/6,146.82 = 3,827.50/x
  3. Step 3: Cross multiply
    4,457.16x = 6,146.82 × 3,827.50
  4. Step 4: Simplify right side
    4,457.16x = 23,526,953.55
  5. Step 5: Solve for x
    x = 23,526,953.55/4,457.16
  6. Step 6: Final answer
    x = 5,278.46

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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.