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Finding the Fourth Proportional to 4,590.54, 6,328.85 and 3,649.50

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Solution

The fourth proportional to 4,590.54, 6,328.85 and 3,649.50 is: 5,031.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,590.54 : 6,328.85 = 3,649.50 : x
  2. Step 2: Convert to fraction form
    4,590.54/6,328.85 = 3,649.50/x
  3. Step 3: Cross multiply
    4,590.54x = 6,328.85 × 3,649.50
  4. Step 4: Simplify right side
    4,590.54x = 23,097,119.83
  5. Step 5: Solve for x
    x = 23,097,119.83/4,590.54
  6. Step 6: Final answer
    x = 5,031.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.