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Finding the Fourth Proportional to 5,894.63, 8,130.42 and 5,004.30

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Solution

The fourth proportional to 5,894.63, 8,130.42 and 5,004.30 is: 6,902.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.63 : 8,130.42 = 5,004.30 : x
  2. Step 2: Convert to fraction form
    5,894.63/8,130.42 = 5,004.30/x
  3. Step 3: Cross multiply
    5,894.63x = 8,130.42 × 5,004.30
  4. Step 4: Simplify right side
    5,894.63x = 40,687,060.81
  5. Step 5: Solve for x
    x = 40,687,060.81/5,894.63
  6. Step 6: Final answer
    x = 6,902.40

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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.