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Finding the Fourth Proportional to 4,298.98, 6,448.60 and 1,525.60

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Solution

The fourth proportional to 4,298.98, 6,448.60 and 1,525.60 is: 2,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298.98 : 6,448.60 = 1,525.60 : x
  2. Step 2: Convert to fraction form
    4,298.98/6,448.60 = 1,525.60/x
  3. Step 3: Cross multiply
    4,298.98x = 6,448.60 × 1,525.60
  4. Step 4: Simplify right side
    4,298.98x = 9,837,996.47
  5. Step 5: Solve for x
    x = 9,837,996.47/4,298.98
  6. Step 6: Final answer
    x = 2,288.45

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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.