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Finding the Fourth Proportional to 5,705.55, 7,895.21 and 4,864.91

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Solution

The fourth proportional to 5,705.55, 7,895.21 and 4,864.91 is: 6,731.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.55 : 7,895.21 = 4,864.91 : x
  2. Step 2: Convert to fraction form
    5,705.55/7,895.21 = 4,864.91/x
  3. Step 3: Cross multiply
    5,705.55x = 7,895.21 × 4,864.91
  4. Step 4: Simplify right side
    5,705.55x = 38,409,422.28
  5. Step 5: Solve for x
    x = 38,409,422.28/5,705.55
  6. Step 6: Final answer
    x = 6,731.94

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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.