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Finding the Fourth Proportional to 5,294, 7,939.40 and 1,595.92

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Solution

The fourth proportional to 5,294, 7,939.40 and 1,595.92 is: 2,393.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294 : 7,939.40 = 1,595.92 : x
  2. Step 2: Convert to fraction form
    5,294/7,939.40 = 1,595.92/x
  3. Step 3: Cross multiply
    5,294x = 7,939.40 × 1,595.92
  4. Step 4: Simplify right side
    5,294x = 12,670,647.25
  5. Step 5: Solve for x
    x = 12,670,647.25/5,294
  6. Step 6: Final answer
    x = 2,393.40

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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.