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Finding the Fourth Proportional to 3,392.58, 5,085.39 and 1,312.02

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Solution

The fourth proportional to 3,392.58, 5,085.39 and 1,312.02 is: 1,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.58 : 5,085.39 = 1,312.02 : x
  2. Step 2: Convert to fraction form
    3,392.58/5,085.39 = 1,312.02/x
  3. Step 3: Cross multiply
    3,392.58x = 5,085.39 × 1,312.02
  4. Step 4: Simplify right side
    3,392.58x = 6,672,133.39
  5. Step 5: Solve for x
    x = 6,672,133.39/3,392.58
  6. Step 6: Final answer
    x = 1,966.68

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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.