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Finding the Fourth Proportional to 4,349.84, 6,526 and 1,576.40

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Solution

The fourth proportional to 4,349.84, 6,526 and 1,576.40 is: 2,365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349.84 : 6,526 = 1,576.40 : x
  2. Step 2: Convert to fraction form
    4,349.84/6,526 = 1,576.40/x
  3. Step 3: Cross multiply
    4,349.84x = 6,526 × 1,576.40
  4. Step 4: Simplify right side
    4,349.84x = 10,287,586.40
  5. Step 5: Solve for x
    x = 10,287,586.40/4,349.84
  6. Step 6: Final answer
    x = 2,365.05

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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.