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Finding the Fourth Proportional to 5,686.44, 8,528.95 and 1,526.77

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Solution

The fourth proportional to 5,686.44, 8,528.95 and 1,526.77 is: 2,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.44 : 8,528.95 = 1,526.77 : x
  2. Step 2: Convert to fraction form
    5,686.44/8,528.95 = 1,526.77/x
  3. Step 3: Cross multiply
    5,686.44x = 8,528.95 × 1,526.77
  4. Step 4: Simplify right side
    5,686.44x = 13,021,744.99
  5. Step 5: Solve for x
    x = 13,021,744.99/5,686.44
  6. Step 6: Final answer
    x = 2,289.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.