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Finding the Fourth Proportional to 5,703.52, 7,852.56 and 4,967.20

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Solution

The fourth proportional to 5,703.52, 7,852.56 and 4,967.20 is: 6,838.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.52 : 7,852.56 = 4,967.20 : x
  2. Step 2: Convert to fraction form
    5,703.52/7,852.56 = 4,967.20/x
  3. Step 3: Cross multiply
    5,703.52x = 7,852.56 × 4,967.20
  4. Step 4: Simplify right side
    5,703.52x = 39,005,236.03
  5. Step 5: Solve for x
    x = 39,005,236.03/5,703.52
  6. Step 6: Final answer
    x = 6,838.80

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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.