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Finding the Fourth Proportional to 3,386.53, 5,079.65 and 1,411.35

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Solution

The fourth proportional to 3,386.53, 5,079.65 and 1,411.35 is: 2,116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.53 : 5,079.65 = 1,411.35 : x
  2. Step 2: Convert to fraction form
    3,386.53/5,079.65 = 1,411.35/x
  3. Step 3: Cross multiply
    3,386.53x = 5,079.65 × 1,411.35
  4. Step 4: Simplify right side
    3,386.53x = 7,169,137.92
  5. Step 5: Solve for x
    x = 7,169,137.92/3,386.53
  6. Step 6: Final answer
    x = 2,116.96

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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.