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Finding the Fourth Proportional to 3,909.60, 5,864.94 and 1,312.74

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Solution

The fourth proportional to 3,909.60, 5,864.94 and 1,312.74 is: 1,969.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.60 : 5,864.94 = 1,312.74 : x
  2. Step 2: Convert to fraction form
    3,909.60/5,864.94 = 1,312.74/x
  3. Step 3: Cross multiply
    3,909.60x = 5,864.94 × 1,312.74
  4. Step 4: Simplify right side
    3,909.60x = 7,699,141.34
  5. Step 5: Solve for x
    x = 7,699,141.34/3,909.60
  6. Step 6: Final answer
    x = 1,969.29

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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.