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Finding the Fourth Proportional to 4,594.83, 6,342.31 and 2,606.70

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Solution

The fourth proportional to 4,594.83, 6,342.31 and 2,606.70 is: 3,598.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.83 : 6,342.31 = 2,606.70 : x
  2. Step 2: Convert to fraction form
    4,594.83/6,342.31 = 2,606.70/x
  3. Step 3: Cross multiply
    4,594.83x = 6,342.31 × 2,606.70
  4. Step 4: Simplify right side
    4,594.83x = 16,532,511.86
  5. Step 5: Solve for x
    x = 16,532,511.86/4,594.83
  6. Step 6: Final answer
    x = 3,598.07

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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.