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Finding the Fourth Proportional to 5,477.70, 7,397.33 and 5,477.70

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Solution

The fourth proportional to 5,477.70, 7,397.33 and 5,477.70 is: 7,397.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.70 : 7,397.33 = 5,477.70 : x
  2. Step 2: Convert to fraction form
    5,477.70/7,397.33 = 5,477.70/x
  3. Step 3: Cross multiply
    5,477.70x = 7,397.33 × 5,477.70
  4. Step 4: Simplify right side
    5,477.70x = 40,520,327.15
  5. Step 5: Solve for x
    x = 40,520,327.15/5,477.70
  6. Step 6: Final answer
    x = 7,397.33

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.