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Finding the Fourth Proportional to 4,339.77, 6,471.56 and 4,300.31

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Solution

The fourth proportional to 4,339.77, 6,471.56 and 4,300.31 is: 6,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.77 : 6,471.56 = 4,300.31 : x
  2. Step 2: Convert to fraction form
    4,339.77/6,471.56 = 4,300.31/x
  3. Step 3: Cross multiply
    4,339.77x = 6,471.56 × 4,300.31
  4. Step 4: Simplify right side
    4,339.77x = 27,829,660.32
  5. Step 5: Solve for x
    x = 27,829,660.32/4,339.77
  6. Step 6: Final answer
    x = 6,412.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.