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Finding the Fourth Proportional to 4,512.02, 6,767.88 and 1,590.25

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Solution

The fourth proportional to 4,512.02, 6,767.88 and 1,590.25 is: 2,385.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,512.02 : 6,767.88 = 1,590.25 : x
  2. Step 2: Convert to fraction form
    4,512.02/6,767.88 = 1,590.25/x
  3. Step 3: Cross multiply
    4,512.02x = 6,767.88 × 1,590.25
  4. Step 4: Simplify right side
    4,512.02x = 10,762,621.17
  5. Step 5: Solve for x
    x = 10,762,621.17/4,512.02
  6. Step 6: Final answer
    x = 2,385.32

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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.