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Finding the Fourth Proportional to 4,457.84, 6,681.72 and 2,146.64

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Solution

The fourth proportional to 4,457.84, 6,681.72 and 2,146.64 is: 3,217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.84 : 6,681.72 = 2,146.64 : x
  2. Step 2: Convert to fraction form
    4,457.84/6,681.72 = 2,146.64/x
  3. Step 3: Cross multiply
    4,457.84x = 6,681.72 × 2,146.64
  4. Step 4: Simplify right side
    4,457.84x = 14,343,247.42
  5. Step 5: Solve for x
    x = 14,343,247.42/4,457.84
  6. Step 6: Final answer
    x = 3,217.53

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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.