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Finding the Fourth Proportional to 5,214.34, 7,780.96 and 5,089.24

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Solution

The fourth proportional to 5,214.34, 7,780.96 and 5,089.24 is: 7,594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.34 : 7,780.96 = 5,089.24 : x
  2. Step 2: Convert to fraction form
    5,214.34/7,780.96 = 5,089.24/x
  3. Step 3: Cross multiply
    5,214.34x = 7,780.96 × 5,089.24
  4. Step 4: Simplify right side
    5,214.34x = 39,599,172.87
  5. Step 5: Solve for x
    x = 39,599,172.87/5,214.34
  6. Step 6: Final answer
    x = 7,594.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.