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Finding the Fourth Proportional to 3,135.79, 4,703.70 and 1,285.61

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Solution

The fourth proportional to 3,135.79, 4,703.70 and 1,285.61 is: 1,928.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,135.79 : 4,703.70 = 1,285.61 : x
  2. Step 2: Convert to fraction form
    3,135.79/4,703.70 = 1,285.61/x
  3. Step 3: Cross multiply
    3,135.79x = 4,703.70 × 1,285.61
  4. Step 4: Simplify right side
    3,135.79x = 6,047,123.76
  5. Step 5: Solve for x
    x = 6,047,123.76/3,135.79
  6. Step 6: Final answer
    x = 1,928.42

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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.