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Finding the Fourth Proportional to 5,122.65, 7,665.69 and 3,718.70

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Solution

The fourth proportional to 5,122.65, 7,665.69 and 3,718.70 is: 5,564.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.65 : 7,665.69 = 3,718.70 : x
  2. Step 2: Convert to fraction form
    5,122.65/7,665.69 = 3,718.70/x
  3. Step 3: Cross multiply
    5,122.65x = 7,665.69 × 3,718.70
  4. Step 4: Simplify right side
    5,122.65x = 28,506,405.77
  5. Step 5: Solve for x
    x = 28,506,405.77/5,122.65
  6. Step 6: Final answer
    x = 5,564.77

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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.