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Finding the Fourth Proportional to 3,532.02, 5,298.21 and 934.98

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Solution

The fourth proportional to 3,532.02, 5,298.21 and 934.98 is: 1,402.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532.02 : 5,298.21 = 934.98 : x
  2. Step 2: Convert to fraction form
    3,532.02/5,298.21 = 934.98/x
  3. Step 3: Cross multiply
    3,532.02x = 5,298.21 × 934.98
  4. Step 4: Simplify right side
    3,532.02x = 4,953,720.39
  5. Step 5: Solve for x
    x = 4,953,720.39/3,532.02
  6. Step 6: Final answer
    x = 1,402.52

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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.