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Finding the Fourth Proportional to 5,302.61, 7,953.90 and 1,792.62

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Solution

The fourth proportional to 5,302.61, 7,953.90 and 1,792.62 is: 2,688.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.61 : 7,953.90 = 1,792.62 : x
  2. Step 2: Convert to fraction form
    5,302.61/7,953.90 = 1,792.62/x
  3. Step 3: Cross multiply
    5,302.61x = 7,953.90 × 1,792.62
  4. Step 4: Simplify right side
    5,302.61x = 14,258,320.22
  5. Step 5: Solve for x
    x = 14,258,320.22/5,302.61
  6. Step 6: Final answer
    x = 2,688.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.