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Finding the Fourth Proportional to 3,221.40, 4,800.12 and 3,064.68

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Solution

The fourth proportional to 3,221.40, 4,800.12 and 3,064.68 is: 4,566.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.40 : 4,800.12 = 3,064.68 : x
  2. Step 2: Convert to fraction form
    3,221.40/4,800.12 = 3,064.68/x
  3. Step 3: Cross multiply
    3,221.40x = 4,800.12 × 3,064.68
  4. Step 4: Simplify right side
    3,221.40x = 14,710,831.76
  5. Step 5: Solve for x
    x = 14,710,831.76/3,221.40
  6. Step 6: Final answer
    x = 4,566.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.