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Finding the Fourth Proportional to 3,848.42, 5,770.32 and 1,870.16

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Solution

The fourth proportional to 3,848.42, 5,770.32 and 1,870.16 is: 2,804.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,848.42 : 5,770.32 = 1,870.16 : x
  2. Step 2: Convert to fraction form
    3,848.42/5,770.32 = 1,870.16/x
  3. Step 3: Cross multiply
    3,848.42x = 5,770.32 × 1,870.16
  4. Step 4: Simplify right side
    3,848.42x = 10,791,396.31
  5. Step 5: Solve for x
    x = 10,791,396.31/3,848.42
  6. Step 6: Final answer
    x = 2,804.11

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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.