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Finding the Fourth Proportional to 5,101.83, 7,698.69 and 4,918.77

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Solution

The fourth proportional to 5,101.83, 7,698.69 and 4,918.77 is: 7,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.83 : 7,698.69 = 4,918.77 : x
  2. Step 2: Convert to fraction form
    5,101.83/7,698.69 = 4,918.77/x
  3. Step 3: Cross multiply
    5,101.83x = 7,698.69 × 4,918.77
  4. Step 4: Simplify right side
    5,101.83x = 37,868,085.41
  5. Step 5: Solve for x
    x = 37,868,085.41/5,101.83
  6. Step 6: Final answer
    x = 7,422.45

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