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Finding the Fourth Proportional to 5,802.64, 8,011.71 and 5,125.27

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Solution

The fourth proportional to 5,802.64, 8,011.71 and 5,125.27 is: 7,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.64 : 8,011.71 = 5,125.27 : x
  2. Step 2: Convert to fraction form
    5,802.64/8,011.71 = 5,125.27/x
  3. Step 3: Cross multiply
    5,802.64x = 8,011.71 × 5,125.27
  4. Step 4: Simplify right side
    5,802.64x = 41,062,176.91
  5. Step 5: Solve for x
    x = 41,062,176.91/5,802.64
  6. Step 6: Final answer
    x = 7,076.46

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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.