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Finding the Fourth Proportional to 5,135.61, 7,703.38 and 1,240

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Solution

The fourth proportional to 5,135.61, 7,703.38 and 1,240 is: 1,859.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.61 : 7,703.38 = 1,240 : x
  2. Step 2: Convert to fraction form
    5,135.61/7,703.38 = 1,240/x
  3. Step 3: Cross multiply
    5,135.61x = 7,703.38 × 1,240
  4. Step 4: Simplify right side
    5,135.61x = 9,552,191.20
  5. Step 5: Solve for x
    x = 9,552,191.20/5,135.61
  6. Step 6: Final answer
    x = 1,859.99

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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.