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Finding the Fourth Proportional to 4,678.56, 7,012.31 and 1,903.77

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Solution

The fourth proportional to 4,678.56, 7,012.31 and 1,903.77 is: 2,853.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.56 : 7,012.31 = 1,903.77 : x
  2. Step 2: Convert to fraction form
    4,678.56/7,012.31 = 1,903.77/x
  3. Step 3: Cross multiply
    4,678.56x = 7,012.31 × 1,903.77
  4. Step 4: Simplify right side
    4,678.56x = 13,349,815.89
  5. Step 5: Solve for x
    x = 13,349,815.89/4,678.56
  6. Step 6: Final answer
    x = 2,853.40

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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.