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Finding the Fourth Proportional to 4,764.45, 7,146.95 and 1,478.01

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Solution

The fourth proportional to 4,764.45, 7,146.95 and 1,478.01 is: 2,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764.45 : 7,146.95 = 1,478.01 : x
  2. Step 2: Convert to fraction form
    4,764.45/7,146.95 = 1,478.01/x
  3. Step 3: Cross multiply
    4,764.45x = 7,146.95 × 1,478.01
  4. Step 4: Simplify right side
    4,764.45x = 10,563,256.18
  5. Step 5: Solve for x
    x = 10,563,256.18/4,764.45
  6. Step 6: Final answer
    x = 2,217.10

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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.