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Finding the Fourth Proportional to 4,911.84, 7,365 and 1,624.04

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Solution

The fourth proportional to 4,911.84, 7,365 and 1,624.04 is: 2,435.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.84 : 7,365 = 1,624.04 : x
  2. Step 2: Convert to fraction form
    4,911.84/7,365 = 1,624.04/x
  3. Step 3: Cross multiply
    4,911.84x = 7,365 × 1,624.04
  4. Step 4: Simplify right side
    4,911.84x = 11,961,054.60
  5. Step 5: Solve for x
    x = 11,961,054.60/4,911.84
  6. Step 6: Final answer
    x = 2,435.15

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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.