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Finding the Fourth Proportional to 4,647.64, 6,969.98 and 1,526.92

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Solution

The fourth proportional to 4,647.64, 6,969.98 and 1,526.92 is: 2,289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.64 : 6,969.98 = 1,526.92 : x
  2. Step 2: Convert to fraction form
    4,647.64/6,969.98 = 1,526.92/x
  3. Step 3: Cross multiply
    4,647.64x = 6,969.98 × 1,526.92
  4. Step 4: Simplify right side
    4,647.64x = 10,642,614.39
  5. Step 5: Solve for x
    x = 10,642,614.39/4,647.64
  6. Step 6: Final answer
    x = 2,289.90

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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.