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Finding the Fourth Proportional to 3,457.64, 4,771.64 and 1,885.76

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Solution

The fourth proportional to 3,457.64, 4,771.64 and 1,885.76 is: 2,602.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.64 : 4,771.64 = 1,885.76 : x
  2. Step 2: Convert to fraction form
    3,457.64/4,771.64 = 1,885.76/x
  3. Step 3: Cross multiply
    3,457.64x = 4,771.64 × 1,885.76
  4. Step 4: Simplify right side
    3,457.64x = 8,998,167.85
  5. Step 5: Solve for x
    x = 8,998,167.85/3,457.64
  6. Step 6: Final answer
    x = 2,602.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.