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Finding the Fourth Proportional to 5,277.65, 7,875.44 and 4,812.09

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Solution

The fourth proportional to 5,277.65, 7,875.44 and 4,812.09 is: 7,180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277.65 : 7,875.44 = 4,812.09 : x
  2. Step 2: Convert to fraction form
    5,277.65/7,875.44 = 4,812.09/x
  3. Step 3: Cross multiply
    5,277.65x = 7,875.44 × 4,812.09
  4. Step 4: Simplify right side
    5,277.65x = 37,897,302.01
  5. Step 5: Solve for x
    x = 37,897,302.01/5,277.65
  6. Step 6: Final answer
    x = 7,180.72

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.