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Finding the Fourth Proportional to 5,432.30, 8,102.78 and 4,934.00

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Solution

The fourth proportional to 5,432.30, 8,102.78 and 4,934.00 is: 7,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,432.30 : 8,102.78 = 4,934.00 : x
  2. Step 2: Convert to fraction form
    5,432.30/8,102.78 = 4,934.00/x
  3. Step 3: Cross multiply
    5,432.30x = 8,102.78 × 4,934.00
  4. Step 4: Simplify right side
    5,432.30x = 39,979,051.34
  5. Step 5: Solve for x
    x = 39,979,051.34/5,432.30
  6. Step 6: Final answer
    x = 7,359.51

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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.