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Finding the Fourth Proportional to 4,535.06, 6,802.65 and 1,613.39

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Solution

The fourth proportional to 4,535.06, 6,802.65 and 1,613.39 is: 2,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,535.06 : 6,802.65 = 1,613.39 : x
  2. Step 2: Convert to fraction form
    4,535.06/6,802.65 = 1,613.39/x
  3. Step 3: Cross multiply
    4,535.06x = 6,802.65 × 1,613.39
  4. Step 4: Simplify right side
    4,535.06x = 10,975,293.47
  5. Step 5: Solve for x
    x = 10,975,293.47/4,535.06
  6. Step 6: Final answer
    x = 2,420.10

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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.