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Finding the Fourth Proportional to 4,617.33, 6,925.71 and 1,984.83

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Solution

The fourth proportional to 4,617.33, 6,925.71 and 1,984.83 is: 2,977.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,617.33 : 6,925.71 = 1,984.83 : x
  2. Step 2: Convert to fraction form
    4,617.33/6,925.71 = 1,984.83/x
  3. Step 3: Cross multiply
    4,617.33x = 6,925.71 × 1,984.83
  4. Step 4: Simplify right side
    4,617.33x = 13,746,356.98
  5. Step 5: Solve for x
    x = 13,746,356.98/4,617.33
  6. Step 6: Final answer
    x = 2,977.12

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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.