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Finding the Fourth Proportional to 5,701.16, 7,868.59 and 4,213.40

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Solution

The fourth proportional to 5,701.16, 7,868.59 and 4,213.40 is: 5,815.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,701.16 : 7,868.59 = 4,213.40 : x
  2. Step 2: Convert to fraction form
    5,701.16/7,868.59 = 4,213.40/x
  3. Step 3: Cross multiply
    5,701.16x = 7,868.59 × 4,213.40
  4. Step 4: Simplify right side
    5,701.16x = 33,153,467.23
  5. Step 5: Solve for x
    x = 33,153,467.23/5,701.16
  6. Step 6: Final answer
    x = 5,815.21

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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.