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Finding the Fourth Proportional to 5,678.09, 8,499.18 and 4,629.14

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Solution

The fourth proportional to 5,678.09, 8,499.18 and 4,629.14 is: 6,929.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.09 : 8,499.18 = 4,629.14 : x
  2. Step 2: Convert to fraction form
    5,678.09/8,499.18 = 4,629.14/x
  3. Step 3: Cross multiply
    5,678.09x = 8,499.18 × 4,629.14
  4. Step 4: Simplify right side
    5,678.09x = 39,343,894.11
  5. Step 5: Solve for x
    x = 39,343,894.11/5,678.09
  6. Step 6: Final answer
    x = 6,929.07

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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.