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Finding the Fourth Proportional to 4,970.55, 7,461.29 and 4,200.11

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Solution

The fourth proportional to 4,970.55, 7,461.29 and 4,200.11 is: 6,304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,970.55 : 7,461.29 = 4,200.11 : x
  2. Step 2: Convert to fraction form
    4,970.55/7,461.29 = 4,200.11/x
  3. Step 3: Cross multiply
    4,970.55x = 7,461.29 × 4,200.11
  4. Step 4: Simplify right side
    4,970.55x = 31,338,180.43
  5. Step 5: Solve for x
    x = 31,338,180.43/4,970.55
  6. Step 6: Final answer
    x = 6,304.77

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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.