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Finding the Fourth Proportional to 6,570.52, 9,051.91 and 4,577.47

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Solution

The fourth proportional to 6,570.52, 9,051.91 and 4,577.47 is: 6,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.52 : 9,051.91 = 4,577.47 : x
  2. Step 2: Convert to fraction form
    6,570.52/9,051.91 = 4,577.47/x
  3. Step 3: Cross multiply
    6,570.52x = 9,051.91 × 4,577.47
  4. Step 4: Simplify right side
    6,570.52x = 41,434,846.47
  5. Step 5: Solve for x
    x = 41,434,846.47/6,570.52
  6. Step 6: Final answer
    x = 6,306.17

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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.