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Finding the Fourth Proportional to 3,247.42, 4,870.10 and 1,055.64

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Solution

The fourth proportional to 3,247.42, 4,870.10 and 1,055.64 is: 1,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,247.42 : 4,870.10 = 1,055.64 : x
  2. Step 2: Convert to fraction form
    3,247.42/4,870.10 = 1,055.64/x
  3. Step 3: Cross multiply
    3,247.42x = 4,870.10 × 1,055.64
  4. Step 4: Simplify right side
    3,247.42x = 5,141,072.36
  5. Step 5: Solve for x
    x = 5,141,072.36/3,247.42
  6. Step 6: Final answer
    x = 1,583.13

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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.