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Finding the Fourth Proportional to 4,792, 7,185.84 and 1,870.24

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Solution

The fourth proportional to 4,792, 7,185.84 and 1,870.24 is: 2,804.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792 : 7,185.84 = 1,870.24 : x
  2. Step 2: Convert to fraction form
    4,792/7,185.84 = 1,870.24/x
  3. Step 3: Cross multiply
    4,792x = 7,185.84 × 1,870.24
  4. Step 4: Simplify right side
    4,792x = 13,439,245.40
  5. Step 5: Solve for x
    x = 13,439,245.40/4,792
  6. Step 6: Final answer
    x = 2,804.52

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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.