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Finding the Fourth Proportional to 6,590.02, 9,094.18 and 3,605.80

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Solution

The fourth proportional to 6,590.02, 9,094.18 and 3,605.80 is: 4,975.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.02 : 9,094.18 = 3,605.80 : x
  2. Step 2: Convert to fraction form
    6,590.02/9,094.18 = 3,605.80/x
  3. Step 3: Cross multiply
    6,590.02x = 9,094.18 × 3,605.80
  4. Step 4: Simplify right side
    6,590.02x = 32,791,794.24
  5. Step 5: Solve for x
    x = 32,791,794.24/6,590.02
  6. Step 6: Final answer
    x = 4,975.98

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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.