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Finding the Fourth Proportional to 4,970.32, 7,455.44 and 1,638.52

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Solution

The fourth proportional to 4,970.32, 7,455.44 and 1,638.52 is: 2,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.32 : 7,455.44 = 1,638.52 : x
  2. Step 2: Convert to fraction form
    4,970.32/7,455.44 = 1,638.52/x
  3. Step 3: Cross multiply
    4,970.32x = 7,455.44 × 1,638.52
  4. Step 4: Simplify right side
    4,970.32x = 12,215,873.01
  5. Step 5: Solve for x
    x = 12,215,873.01/4,970.32
  6. Step 6: Final answer
    x = 2,457.77

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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.