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Finding the Fourth Proportional to 5,746.06, 8,549.15 and 5,726.62

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Solution

The fourth proportional to 5,746.06, 8,549.15 and 5,726.62 is: 8,520.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.06 : 8,549.15 = 5,726.62 : x
  2. Step 2: Convert to fraction form
    5,746.06/8,549.15 = 5,726.62/x
  3. Step 3: Cross multiply
    5,746.06x = 8,549.15 × 5,726.62
  4. Step 4: Simplify right side
    5,746.06x = 48,957,733.37
  5. Step 5: Solve for x
    x = 48,957,733.37/5,746.06
  6. Step 6: Final answer
    x = 8,520.23

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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.