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Finding the Fourth Proportional to 4,748.61, 7,122.29 and 1,238.87

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Solution

The fourth proportional to 4,748.61, 7,122.29 and 1,238.87 is: 1,858.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.61 : 7,122.29 = 1,238.87 : x
  2. Step 2: Convert to fraction form
    4,748.61/7,122.29 = 1,238.87/x
  3. Step 3: Cross multiply
    4,748.61x = 7,122.29 × 1,238.87
  4. Step 4: Simplify right side
    4,748.61x = 8,823,549.61
  5. Step 5: Solve for x
    x = 8,823,549.61/4,748.61
  6. Step 6: Final answer
    x = 1,858.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.