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Finding the Fourth Proportional to 7,570.59, 10,448.79 and 4,588.98

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Solution

The fourth proportional to 7,570.59, 10,448.79 and 4,588.98 is: 6,333.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.59 : 10,448.79 = 4,588.98 : x
  2. Step 2: Convert to fraction form
    7,570.59/10,448.79 = 4,588.98/x
  3. Step 3: Cross multiply
    7,570.59x = 10,448.79 × 4,588.98
  4. Step 4: Simplify right side
    7,570.59x = 47,949,288.33
  5. Step 5: Solve for x
    x = 47,949,288.33/7,570.59
  6. Step 6: Final answer
    x = 6,333.63

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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.