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Finding the Fourth Proportional to 4,678.62, 6,454.24 and 3,417.58

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Solution

The fourth proportional to 4,678.62, 6,454.24 and 3,417.58 is: 4,714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.62 : 6,454.24 = 3,417.58 : x
  2. Step 2: Convert to fraction form
    4,678.62/6,454.24 = 3,417.58/x
  3. Step 3: Cross multiply
    4,678.62x = 6,454.24 × 3,417.58
  4. Step 4: Simplify right side
    4,678.62x = 22,057,881.54
  5. Step 5: Solve for x
    x = 22,057,881.54/4,678.62
  6. Step 6: Final answer
    x = 4,714.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.