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Finding the Fourth Proportional to 5,281.83, 7,930.53 and 2,946.39

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Solution

The fourth proportional to 5,281.83, 7,930.53 and 2,946.39 is: 4,423.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.83 : 7,930.53 = 2,946.39 : x
  2. Step 2: Convert to fraction form
    5,281.83/7,930.53 = 2,946.39/x
  3. Step 3: Cross multiply
    5,281.83x = 7,930.53 × 2,946.39
  4. Step 4: Simplify right side
    5,281.83x = 23,366,434.29
  5. Step 5: Solve for x
    x = 23,366,434.29/5,281.83
  6. Step 6: Final answer
    x = 4,423.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.