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Finding the Fourth Proportional to 4,490.78, 6,688.71 and 4,256.58

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Solution

The fourth proportional to 4,490.78, 6,688.71 and 4,256.58 is: 6,339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,490.78 : 6,688.71 = 4,256.58 : x
  2. Step 2: Convert to fraction form
    4,490.78/6,688.71 = 4,256.58/x
  3. Step 3: Cross multiply
    4,490.78x = 6,688.71 × 4,256.58
  4. Step 4: Simplify right side
    4,490.78x = 28,471,029.21
  5. Step 5: Solve for x
    x = 28,471,029.21/4,490.78
  6. Step 6: Final answer
    x = 6,339.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.