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Finding the Fourth Proportional to 3,488.84, 5,232.14 and 1,148.30

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Solution

The fourth proportional to 3,488.84, 5,232.14 and 1,148.30 is: 1,722.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,488.84 : 5,232.14 = 1,148.30 : x
  2. Step 2: Convert to fraction form
    3,488.84/5,232.14 = 1,148.30/x
  3. Step 3: Cross multiply
    3,488.84x = 5,232.14 × 1,148.30
  4. Step 4: Simplify right side
    3,488.84x = 6,008,066.36
  5. Step 5: Solve for x
    x = 6,008,066.36/3,488.84
  6. Step 6: Final answer
    x = 1,722.08

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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.