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Finding the Fourth Proportional to 3,146.40, 4,737.94 and 2,330.42

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Solution

The fourth proportional to 3,146.40, 4,737.94 and 2,330.42 is: 3,509.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.40 : 4,737.94 = 2,330.42 : x
  2. Step 2: Convert to fraction form
    3,146.40/4,737.94 = 2,330.42/x
  3. Step 3: Cross multiply
    3,146.40x = 4,737.94 × 2,330.42
  4. Step 4: Simplify right side
    3,146.40x = 11,041,390.13
  5. Step 5: Solve for x
    x = 11,041,390.13/3,146.40
  6. Step 6: Final answer
    x = 3,509.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.