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Finding the Fourth Proportional to 5,828.40, 8,726.40 and 5,666.40

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Solution

The fourth proportional to 5,828.40, 8,726.40 and 5,666.40 is: 8,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.40 : 8,726.40 = 5,666.40 : x
  2. Step 2: Convert to fraction form
    5,828.40/8,726.40 = 5,666.40/x
  3. Step 3: Cross multiply
    5,828.40x = 8,726.40 × 5,666.40
  4. Step 4: Simplify right side
    5,828.40x = 49,447,272.96
  5. Step 5: Solve for x
    x = 49,447,272.96/5,828.40
  6. Step 6: Final answer
    x = 8,483.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.