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Finding the Fourth Proportional to 4,710.21, 7,065.35 and 1,200.23

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Solution

The fourth proportional to 4,710.21, 7,065.35 and 1,200.23 is: 1,800.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,710.21 : 7,065.35 = 1,200.23 : x
  2. Step 2: Convert to fraction form
    4,710.21/7,065.35 = 1,200.23/x
  3. Step 3: Cross multiply
    4,710.21x = 7,065.35 × 1,200.23
  4. Step 4: Simplify right side
    4,710.21x = 8,480,003.70
  5. Step 5: Solve for x
    x = 8,480,003.70/4,710.21
  6. Step 6: Final answer
    x = 1,800.35

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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.