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Finding the Fourth Proportional to 5,345, 7,378.16 and 4,784.48

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Solution

The fourth proportional to 5,345, 7,378.16 and 4,784.48 is: 6,604.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,345 : 7,378.16 = 4,784.48 : x
  2. Step 2: Convert to fraction form
    5,345/7,378.16 = 4,784.48/x
  3. Step 3: Cross multiply
    5,345x = 7,378.16 × 4,784.48
  4. Step 4: Simplify right side
    5,345x = 35,300,658.96
  5. Step 5: Solve for x
    x = 35,300,658.96/5,345
  6. Step 6: Final answer
    x = 6,604.43

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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.