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Finding the Fourth Proportional to 3,866.51, 5,800.05 and 1,526.34

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Solution

The fourth proportional to 3,866.51, 5,800.05 and 1,526.34 is: 2,289.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.51 : 5,800.05 = 1,526.34 : x
  2. Step 2: Convert to fraction form
    3,866.51/5,800.05 = 1,526.34/x
  3. Step 3: Cross multiply
    3,866.51x = 5,800.05 × 1,526.34
  4. Step 4: Simplify right side
    3,866.51x = 8,852,848.32
  5. Step 5: Solve for x
    x = 8,852,848.32/3,866.51
  6. Step 6: Final answer
    x = 2,289.63

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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.