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Finding the Fourth Proportional to 3,582.64, 5,374.02 and 1,274.08

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Solution

The fourth proportional to 3,582.64, 5,374.02 and 1,274.08 is: 1,911.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,582.64 : 5,374.02 = 1,274.08 : x
  2. Step 2: Convert to fraction form
    3,582.64/5,374.02 = 1,274.08/x
  3. Step 3: Cross multiply
    3,582.64x = 5,374.02 × 1,274.08
  4. Step 4: Simplify right side
    3,582.64x = 6,846,931.40
  5. Step 5: Solve for x
    x = 6,846,931.40/3,582.64
  6. Step 6: Final answer
    x = 1,911.14

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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.