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Finding the Fourth Proportional to 5,665.71, 8,460.40 and 4,627.77

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Solution

The fourth proportional to 5,665.71, 8,460.40 and 4,627.77 is: 6,910.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.71 : 8,460.40 = 4,627.77 : x
  2. Step 2: Convert to fraction form
    5,665.71/8,460.40 = 4,627.77/x
  3. Step 3: Cross multiply
    5,665.71x = 8,460.40 × 4,627.77
  4. Step 4: Simplify right side
    5,665.71x = 39,152,750.69
  5. Step 5: Solve for x
    x = 39,152,750.69/5,665.71
  6. Step 6: Final answer
    x = 6,910.47

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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.