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Finding the Fourth Proportional to 6,570.77, 9,068.55 and 4,180.98

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Solution

The fourth proportional to 6,570.77, 9,068.55 and 4,180.98 is: 5,770.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.77 : 9,068.55 = 4,180.98 : x
  2. Step 2: Convert to fraction form
    6,570.77/9,068.55 = 4,180.98/x
  3. Step 3: Cross multiply
    6,570.77x = 9,068.55 × 4,180.98
  4. Step 4: Simplify right side
    6,570.77x = 37,915,426.18
  5. Step 5: Solve for x
    x = 37,915,426.18/6,570.77
  6. Step 6: Final answer
    x = 5,770.32

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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.