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Finding the Fourth Proportional to 3,133.79, 4,700.70 and 1,283.61

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Solution

The fourth proportional to 3,133.79, 4,700.70 and 1,283.61 is: 1,925.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.79 : 4,700.70 = 1,283.61 : x
  2. Step 2: Convert to fraction form
    3,133.79/4,700.70 = 1,283.61/x
  3. Step 3: Cross multiply
    3,133.79x = 4,700.70 × 1,283.61
  4. Step 4: Simplify right side
    3,133.79x = 6,033,865.53
  5. Step 5: Solve for x
    x = 6,033,865.53/3,133.79
  6. Step 6: Final answer
    x = 1,925.42

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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.