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Finding the Fourth Proportional to 6,710.46, 9,260.88 and 4,057.98

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Solution

The fourth proportional to 6,710.46, 9,260.88 and 4,057.98 is: 5,600.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.46 : 9,260.88 = 4,057.98 : x
  2. Step 2: Convert to fraction form
    6,710.46/9,260.88 = 4,057.98/x
  3. Step 3: Cross multiply
    6,710.46x = 9,260.88 × 4,057.98
  4. Step 4: Simplify right side
    6,710.46x = 37,580,465.82
  5. Step 5: Solve for x
    x = 37,580,465.82/6,710.46
  6. Step 6: Final answer
    x = 5,600.28

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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.