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Finding the Fourth Proportional to 4,645.47, 6,968.10 and 1,135.44

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Solution

The fourth proportional to 4,645.47, 6,968.10 and 1,135.44 is: 1,703.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.47 : 6,968.10 = 1,135.44 : x
  2. Step 2: Convert to fraction form
    4,645.47/6,968.10 = 1,135.44/x
  3. Step 3: Cross multiply
    4,645.47x = 6,968.10 × 1,135.44
  4. Step 4: Simplify right side
    4,645.47x = 7,911,859.46
  5. Step 5: Solve for x
    x = 7,911,859.46/4,645.47
  6. Step 6: Final answer
    x = 1,703.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.