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Finding the Fourth Proportional to 5,757.48, 7,948.53 and 5,363.82

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Solution

The fourth proportional to 5,757.48, 7,948.53 and 5,363.82 is: 7,405.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.48 : 7,948.53 = 5,363.82 : x
  2. Step 2: Convert to fraction form
    5,757.48/7,948.53 = 5,363.82/x
  3. Step 3: Cross multiply
    5,757.48x = 7,948.53 × 5,363.82
  4. Step 4: Simplify right side
    5,757.48x = 42,634,484.18
  5. Step 5: Solve for x
    x = 42,634,484.18/5,757.48
  6. Step 6: Final answer
    x = 7,405.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.