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Finding the Fourth Proportional to 4,923.68, 7,386.99 and 4,629.95

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Solution

The fourth proportional to 4,923.68, 7,386.99 and 4,629.95 is: 6,946.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.68 : 7,386.99 = 4,629.95 : x
  2. Step 2: Convert to fraction form
    4,923.68/7,386.99 = 4,629.95/x
  3. Step 3: Cross multiply
    4,923.68x = 7,386.99 × 4,629.95
  4. Step 4: Simplify right side
    4,923.68x = 34,201,394.35
  5. Step 5: Solve for x
    x = 34,201,394.35/4,923.68
  6. Step 6: Final answer
    x = 6,946.31

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