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Finding the Fourth Proportional to 3,590.85, 5,386.58 and 993.78

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Solution

The fourth proportional to 3,590.85, 5,386.58 and 993.78 is: 1,490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.85 : 5,386.58 = 993.78 : x
  2. Step 2: Convert to fraction form
    3,590.85/5,386.58 = 993.78/x
  3. Step 3: Cross multiply
    3,590.85x = 5,386.58 × 993.78
  4. Step 4: Simplify right side
    3,590.85x = 5,353,075.47
  5. Step 5: Solve for x
    x = 5,353,075.47/3,590.85
  6. Step 6: Final answer
    x = 1,490.75

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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.