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Finding the Fourth Proportional to 5,478.66, 7,564.50 and 4,946.49

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Solution

The fourth proportional to 5,478.66, 7,564.50 and 4,946.49 is: 6,829.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.66 : 7,564.50 = 4,946.49 : x
  2. Step 2: Convert to fraction form
    5,478.66/7,564.50 = 4,946.49/x
  3. Step 3: Cross multiply
    5,478.66x = 7,564.50 × 4,946.49
  4. Step 4: Simplify right side
    5,478.66x = 37,417,723.61
  5. Step 5: Solve for x
    x = 37,417,723.61/5,478.66
  6. Step 6: Final answer
    x = 6,829.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.