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Finding the Fourth Proportional to 5,802.63, 8,008.64 and 3,444.72

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Solution

The fourth proportional to 5,802.63, 8,008.64 and 3,444.72 is: 4,754.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.63 : 8,008.64 = 3,444.72 : x
  2. Step 2: Convert to fraction form
    5,802.63/8,008.64 = 3,444.72/x
  3. Step 3: Cross multiply
    5,802.63x = 8,008.64 × 3,444.72
  4. Step 4: Simplify right side
    5,802.63x = 27,587,522.38
  5. Step 5: Solve for x
    x = 27,587,522.38/5,802.63
  6. Step 6: Final answer
    x = 4,754.31

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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.