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Finding the Fourth Proportional to 5,495.81, 7,578.82 and 5,040.49

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Solution

The fourth proportional to 5,495.81, 7,578.82 and 5,040.49 is: 6,950.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,495.81 : 7,578.82 = 5,040.49 : x
  2. Step 2: Convert to fraction form
    5,495.81/7,578.82 = 5,040.49/x
  3. Step 3: Cross multiply
    5,495.81x = 7,578.82 × 5,040.49
  4. Step 4: Simplify right side
    5,495.81x = 38,200,966.42
  5. Step 5: Solve for x
    x = 38,200,966.42/5,495.81
  6. Step 6: Final answer
    x = 6,950.93

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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.