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Finding the Fourth Proportional to 5,918.40, 8,890.80 and 4,946.40

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Solution

The fourth proportional to 5,918.40, 8,890.80 and 4,946.40 is: 7,430.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,918.40 : 8,890.80 = 4,946.40 : x
  2. Step 2: Convert to fraction form
    5,918.40/8,890.80 = 4,946.40/x
  3. Step 3: Cross multiply
    5,918.40x = 8,890.80 × 4,946.40
  4. Step 4: Simplify right side
    5,918.40x = 43,977,453.12
  5. Step 5: Solve for x
    x = 43,977,453.12/5,918.40
  6. Step 6: Final answer
    x = 7,430.63

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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.