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Finding the Fourth Proportional to 4,671.84, 7,009.74 and 2,334.18

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Solution

The fourth proportional to 4,671.84, 7,009.74 and 2,334.18 is: 3,502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.84 : 7,009.74 = 2,334.18 : x
  2. Step 2: Convert to fraction form
    4,671.84/7,009.74 = 2,334.18/x
  3. Step 3: Cross multiply
    4,671.84x = 7,009.74 × 2,334.18
  4. Step 4: Simplify right side
    4,671.84x = 16,361,994.91
  5. Step 5: Solve for x
    x = 16,361,994.91/4,671.84
  6. Step 6: Final answer
    x = 3,502.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.