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Finding the Fourth Proportional to 4,707.48, 6,497.10 and 2,612.28

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Solution

The fourth proportional to 4,707.48, 6,497.10 and 2,612.28 is: 3,605.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.48 : 6,497.10 = 2,612.28 : x
  2. Step 2: Convert to fraction form
    4,707.48/6,497.10 = 2,612.28/x
  3. Step 3: Cross multiply
    4,707.48x = 6,497.10 × 2,612.28
  4. Step 4: Simplify right side
    4,707.48x = 16,972,244.39
  5. Step 5: Solve for x
    x = 16,972,244.39/4,707.48
  6. Step 6: Final answer
    x = 3,605.38

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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.