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Finding the Fourth Proportional to 7,570.87, 10,448.91 and 4,546.20

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Solution

The fourth proportional to 7,570.87, 10,448.91 and 4,546.20 is: 6,274.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.87 : 10,448.91 = 4,546.20 : x
  2. Step 2: Convert to fraction form
    7,570.87/10,448.91 = 4,546.20/x
  3. Step 3: Cross multiply
    7,570.87x = 10,448.91 × 4,546.20
  4. Step 4: Simplify right side
    7,570.87x = 47,502,834.64
  5. Step 5: Solve for x
    x = 47,502,834.64/7,570.87
  6. Step 6: Final answer
    x = 6,274.42

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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.