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Finding the Fourth Proportional to 5,802.56, 8,004.12 and 3,707.72

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Solution

The fourth proportional to 5,802.56, 8,004.12 and 3,707.72 is: 5,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.56 : 8,004.12 = 3,707.72 : x
  2. Step 2: Convert to fraction form
    5,802.56/8,004.12 = 3,707.72/x
  3. Step 3: Cross multiply
    5,802.56x = 8,004.12 × 3,707.72
  4. Step 4: Simplify right side
    5,802.56x = 29,677,035.81
  5. Step 5: Solve for x
    x = 29,677,035.81/5,802.56
  6. Step 6: Final answer
    x = 5,114.47

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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.