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Finding the Fourth Proportional to 4,645.98, 6,969.06 and 1,526.16

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Solution

The fourth proportional to 4,645.98, 6,969.06 and 1,526.16 is: 2,289.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.98 : 6,969.06 = 1,526.16 : x
  2. Step 2: Convert to fraction form
    4,645.98/6,969.06 = 1,526.16/x
  3. Step 3: Cross multiply
    4,645.98x = 6,969.06 × 1,526.16
  4. Step 4: Simplify right side
    4,645.98x = 10,635,900.61
  5. Step 5: Solve for x
    x = 10,635,900.61/4,645.98
  6. Step 6: Final answer
    x = 2,289.27

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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.