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Finding the Fourth Proportional to 4,223.02, 6,335.22 and 1,590.73

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Solution

The fourth proportional to 4,223.02, 6,335.22 and 1,590.73 is: 2,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.02 : 6,335.22 = 1,590.73 : x
  2. Step 2: Convert to fraction form
    4,223.02/6,335.22 = 1,590.73/x
  3. Step 3: Cross multiply
    4,223.02x = 6,335.22 × 1,590.73
  4. Step 4: Simplify right side
    4,223.02x = 10,077,624.51
  5. Step 5: Solve for x
    x = 10,077,624.51/4,223.02
  6. Step 6: Final answer
    x = 2,386.35

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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.