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Finding the Fourth Proportional to 4,223.60, 6,332.24 and 2,030.24

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Solution

The fourth proportional to 4,223.60, 6,332.24 and 2,030.24 is: 3,043.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.60 : 6,332.24 = 2,030.24 : x
  2. Step 2: Convert to fraction form
    4,223.60/6,332.24 = 2,030.24/x
  3. Step 3: Cross multiply
    4,223.60x = 6,332.24 × 2,030.24
  4. Step 4: Simplify right side
    4,223.60x = 12,855,966.94
  5. Step 5: Solve for x
    x = 12,855,966.94/4,223.60
  6. Step 6: Final answer
    x = 3,043.84

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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.