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Finding the Fourth Proportional to 3,146.58, 4,715.76 and 1,295.58

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Solution

The fourth proportional to 3,146.58, 4,715.76 and 1,295.58 is: 1,941.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.58 : 4,715.76 = 1,295.58 : x
  2. Step 2: Convert to fraction form
    3,146.58/4,715.76 = 1,295.58/x
  3. Step 3: Cross multiply
    3,146.58x = 4,715.76 × 1,295.58
  4. Step 4: Simplify right side
    3,146.58x = 6,109,644.34
  5. Step 5: Solve for x
    x = 6,109,644.34/3,146.58
  6. Step 6: Final answer
    x = 1,941.68

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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.