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Finding the Fourth Proportional to 5,391.84, 8,032.47 and 5,056.50

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Solution

The fourth proportional to 5,391.84, 8,032.47 and 5,056.50 is: 7,532.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,391.84 : 8,032.47 = 5,056.50 : x
  2. Step 2: Convert to fraction form
    5,391.84/8,032.47 = 5,056.50/x
  3. Step 3: Cross multiply
    5,391.84x = 8,032.47 × 5,056.50
  4. Step 4: Simplify right side
    5,391.84x = 40,616,184.56
  5. Step 5: Solve for x
    x = 40,616,184.56/5,391.84
  6. Step 6: Final answer
    x = 7,532.90

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Why These Related Problems?

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