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Finding the Fourth Proportional to 5,713.30, 7,888.44 and 4,455.76

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Solution

The fourth proportional to 5,713.30, 7,888.44 and 4,455.76 is: 6,152.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.30 : 7,888.44 = 4,455.76 : x
  2. Step 2: Convert to fraction form
    5,713.30/7,888.44 = 4,455.76/x
  3. Step 3: Cross multiply
    5,713.30x = 7,888.44 × 4,455.76
  4. Step 4: Simplify right side
    5,713.30x = 35,148,995.41
  5. Step 5: Solve for x
    x = 35,148,995.41/5,713.30
  6. Step 6: Final answer
    x = 6,152.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.