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Finding the Fourth Proportional to 5,776.01, 7,970.30 and 4,264.38

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Solution

The fourth proportional to 5,776.01, 7,970.30 and 4,264.38 is: 5,884.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.01 : 7,970.30 = 4,264.38 : x
  2. Step 2: Convert to fraction form
    5,776.01/7,970.30 = 4,264.38/x
  3. Step 3: Cross multiply
    5,776.01x = 7,970.30 × 4,264.38
  4. Step 4: Simplify right side
    5,776.01x = 33,988,379.26
  5. Step 5: Solve for x
    x = 33,988,379.26/5,776.01
  6. Step 6: Final answer
    x = 5,884.40

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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.