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Finding the Fourth Proportional to 3,526.17, 5,289.23 and 1,577.00

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Solution

The fourth proportional to 3,526.17, 5,289.23 and 1,577.00 is: 2,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,526.17 : 5,289.23 = 1,577.00 : x
  2. Step 2: Convert to fraction form
    3,526.17/5,289.23 = 1,577.00/x
  3. Step 3: Cross multiply
    3,526.17x = 5,289.23 × 1,577.00
  4. Step 4: Simplify right side
    3,526.17x = 8,341,132.88
  5. Step 5: Solve for x
    x = 8,341,132.88/3,526.17
  6. Step 6: Final answer
    x = 2,365.50

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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.