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Finding the Fourth Proportional to 5,628.64, 7,756.56 and 4,053.76

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Solution

The fourth proportional to 5,628.64, 7,756.56 and 4,053.76 is: 5,586.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.64 : 7,756.56 = 4,053.76 : x
  2. Step 2: Convert to fraction form
    5,628.64/7,756.56 = 4,053.76/x
  3. Step 3: Cross multiply
    5,628.64x = 7,756.56 × 4,053.76
  4. Step 4: Simplify right side
    5,628.64x = 31,443,232.67
  5. Step 5: Solve for x
    x = 31,443,232.67/5,628.64
  6. Step 6: Final answer
    x = 5,586.29

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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.