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Finding the Fourth Proportional to 5,153.98, 7,730.88 and 1,456.42

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Solution

The fourth proportional to 5,153.98, 7,730.88 and 1,456.42 is: 2,184.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,153.98 : 7,730.88 = 1,456.42 : x
  2. Step 2: Convert to fraction form
    5,153.98/7,730.88 = 1,456.42/x
  3. Step 3: Cross multiply
    5,153.98x = 7,730.88 × 1,456.42
  4. Step 4: Simplify right side
    5,153.98x = 11,259,408.25
  5. Step 5: Solve for x
    x = 11,259,408.25/5,153.98
  6. Step 6: Final answer
    x = 2,184.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.