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Finding the Fourth Proportional to 5,703.92, 7,853.25 and 5,031.15

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Solution

The fourth proportional to 5,703.92, 7,853.25 and 5,031.15 is: 6,926.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.92 : 7,853.25 = 5,031.15 : x
  2. Step 2: Convert to fraction form
    5,703.92/7,853.25 = 5,031.15/x
  3. Step 3: Cross multiply
    5,703.92x = 7,853.25 × 5,031.15
  4. Step 4: Simplify right side
    5,703.92x = 39,510,878.74
  5. Step 5: Solve for x
    x = 39,510,878.74/5,703.92
  6. Step 6: Final answer
    x = 6,926.98

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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.