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Finding the Fourth Proportional to 4,594.41, 6,341.71 and 2,705.84

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Solution

The fourth proportional to 4,594.41, 6,341.71 and 2,705.84 is: 3,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.41 : 6,341.71 = 2,705.84 : x
  2. Step 2: Convert to fraction form
    4,594.41/6,341.71 = 2,705.84/x
  3. Step 3: Cross multiply
    4,594.41x = 6,341.71 × 2,705.84
  4. Step 4: Simplify right side
    4,594.41x = 17,159,652.59
  5. Step 5: Solve for x
    x = 17,159,652.59/4,594.41
  6. Step 6: Final answer
    x = 3,734.90

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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.