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Finding the Fourth Proportional to 5,243.79, 7,864.12 and 1,545.94

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Solution

The fourth proportional to 5,243.79, 7,864.12 and 1,545.94 is: 2,318.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.79 : 7,864.12 = 1,545.94 : x
  2. Step 2: Convert to fraction form
    5,243.79/7,864.12 = 1,545.94/x
  3. Step 3: Cross multiply
    5,243.79x = 7,864.12 × 1,545.94
  4. Step 4: Simplify right side
    5,243.79x = 12,157,457.67
  5. Step 5: Solve for x
    x = 12,157,457.67/5,243.79
  6. Step 6: Final answer
    x = 2,318.45

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1.5x scale

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.