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Finding the Fourth Proportional to 5,052.65, 7,580.00 and 2,130.96

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Solution

The fourth proportional to 5,052.65, 7,580.00 and 2,130.96 is: 3,196.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,052.65 : 7,580.00 = 2,130.96 : x
  2. Step 2: Convert to fraction form
    5,052.65/7,580.00 = 2,130.96/x
  3. Step 3: Cross multiply
    5,052.65x = 7,580.00 × 2,130.96
  4. Step 4: Simplify right side
    5,052.65x = 16,152,666.15
  5. Step 5: Solve for x
    x = 16,152,666.15/5,052.65
  6. Step 6: Final answer
    x = 3,196.87

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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.