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Finding the Fourth Proportional to 3,870.48, 5,320.72 and 3,330.14

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Solution

The fourth proportional to 3,870.48, 5,320.72 and 3,330.14 is: 4,577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.48 : 5,320.72 = 3,330.14 : x
  2. Step 2: Convert to fraction form
    3,870.48/5,320.72 = 3,330.14/x
  3. Step 3: Cross multiply
    3,870.48x = 5,320.72 × 3,330.14
  4. Step 4: Simplify right side
    3,870.48x = 17,718,742.50
  5. Step 5: Solve for x
    x = 17,718,742.50/3,870.48
  6. Step 6: Final answer
    x = 4,577.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.