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Finding the Fourth Proportional to 5,240.40, 7,859.98 and 1,953.12

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Solution

The fourth proportional to 5,240.40, 7,859.98 and 1,953.12 is: 2,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.40 : 7,859.98 = 1,953.12 : x
  2. Step 2: Convert to fraction form
    5,240.40/7,859.98 = 1,953.12/x
  3. Step 3: Cross multiply
    5,240.40x = 7,859.98 × 1,953.12
  4. Step 4: Simplify right side
    5,240.40x = 15,351,484.14
  5. Step 5: Solve for x
    x = 15,351,484.14/5,240.40
  6. Step 6: Final answer
    x = 2,929.45

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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.