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Finding the Fourth Proportional to 6,430.83, 8,876.28 and 3,780.00

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Solution

The fourth proportional to 6,430.83, 8,876.28 and 3,780.00 is: 5,217.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,430.83 : 8,876.28 = 3,780.00 : x
  2. Step 2: Convert to fraction form
    6,430.83/8,876.28 = 3,780.00/x
  3. Step 3: Cross multiply
    6,430.83x = 8,876.28 × 3,780.00
  4. Step 4: Simplify right side
    6,430.83x = 33,552,275.12
  5. Step 5: Solve for x
    x = 33,552,275.12/6,430.83
  6. Step 6: Final answer
    x = 5,217.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.