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Finding the Fourth Proportional to 4,497.47, 6,746.21 and 1,377.46

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Solution

The fourth proportional to 4,497.47, 6,746.21 and 1,377.46 is: 2,066.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497.47 : 6,746.21 = 1,377.46 : x
  2. Step 2: Convert to fraction form
    4,497.47/6,746.21 = 1,377.46/x
  3. Step 3: Cross multiply
    4,497.47x = 6,746.21 × 1,377.46
  4. Step 4: Simplify right side
    4,497.47x = 9,292,629.91
  5. Step 5: Solve for x
    x = 9,292,629.91/4,497.47
  6. Step 6: Final answer
    x = 2,066.19

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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.