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Finding the Fourth Proportional to 4,710.16, 6,494.68 and 3,006.39

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Solution

The fourth proportional to 4,710.16, 6,494.68 and 3,006.39 is: 4,145.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.16 : 6,494.68 = 3,006.39 : x
  2. Step 2: Convert to fraction form
    4,710.16/6,494.68 = 3,006.39/x
  3. Step 3: Cross multiply
    4,710.16x = 6,494.68 × 3,006.39
  4. Step 4: Simplify right side
    4,710.16x = 19,525,541.01
  5. Step 5: Solve for x
    x = 19,525,541.01/4,710.16
  6. Step 6: Final answer
    x = 4,145.41

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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.