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Finding the Fourth Proportional to 5,478.66, 7,560.34 and 3,088.77

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Solution

The fourth proportional to 5,478.66, 7,560.34 and 3,088.77 is: 4,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478.66 : 7,560.34 = 3,088.77 : x
  2. Step 2: Convert to fraction form
    5,478.66/7,560.34 = 3,088.77/x
  3. Step 3: Cross multiply
    5,478.66x = 7,560.34 × 3,088.77
  4. Step 4: Simplify right side
    5,478.66x = 23,352,151.38
  5. Step 5: Solve for x
    x = 23,352,151.38/5,478.66
  6. Step 6: Final answer
    x = 4,262.38

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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.