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Finding the Fourth Proportional to 4,972.32, 7,458.30 and 1,274.58

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Solution

The fourth proportional to 4,972.32, 7,458.30 and 1,274.58 is: 1,911.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.32 : 7,458.30 = 1,274.58 : x
  2. Step 2: Convert to fraction form
    4,972.32/7,458.30 = 1,274.58/x
  3. Step 3: Cross multiply
    4,972.32x = 7,458.30 × 1,274.58
  4. Step 4: Simplify right side
    4,972.32x = 9,506,200.01
  5. Step 5: Solve for x
    x = 9,506,200.01/4,972.32
  6. Step 6: Final answer
    x = 1,911.82

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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.