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Finding the Fourth Proportional to 5,827.79, 8,024.86 and 5,220.93

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Solution

The fourth proportional to 5,827.79, 8,024.86 and 5,220.93 is: 7,189.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,827.79 : 8,024.86 = 5,220.93 : x
  2. Step 2: Convert to fraction form
    5,827.79/8,024.86 = 5,220.93/x
  3. Step 3: Cross multiply
    5,827.79x = 8,024.86 × 5,220.93
  4. Step 4: Simplify right side
    5,827.79x = 41,897,232.32
  5. Step 5: Solve for x
    x = 41,897,232.32/5,827.79
  6. Step 6: Final answer
    x = 7,189.21

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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.