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Finding the Fourth Proportional to 5,624.30, 7,762.53 and 3,500.69

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Solution

The fourth proportional to 5,624.30, 7,762.53 and 3,500.69 is: 4,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,624.30 : 7,762.53 = 3,500.69 : x
  2. Step 2: Convert to fraction form
    5,624.30/7,762.53 = 3,500.69/x
  3. Step 3: Cross multiply
    5,624.30x = 7,762.53 × 3,500.69
  4. Step 4: Simplify right side
    5,624.30x = 27,174,185.46
  5. Step 5: Solve for x
    x = 27,174,185.46/5,624.30
  6. Step 6: Final answer
    x = 4,831.57

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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.