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Finding the Fourth Proportional to 4,972.30, 7,458.45 and 4,410.70

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Solution

The fourth proportional to 4,972.30, 7,458.45 and 4,410.70 is: 6,616.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.30 : 7,458.45 = 4,410.70 : x
  2. Step 2: Convert to fraction form
    4,972.30/7,458.45 = 4,410.70/x
  3. Step 3: Cross multiply
    4,972.30x = 7,458.45 × 4,410.70
  4. Step 4: Simplify right side
    4,972.30x = 32,896,985.42
  5. Step 5: Solve for x
    x = 32,896,985.42/4,972.30
  6. Step 6: Final answer
    x = 6,616.05

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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.