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Finding the Fourth Proportional to 3,210.34, 4,430.22 and 2,265.14

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Solution

The fourth proportional to 3,210.34, 4,430.22 and 2,265.14 is: 3,125.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.34 : 4,430.22 = 2,265.14 : x
  2. Step 2: Convert to fraction form
    3,210.34/4,430.22 = 2,265.14/x
  3. Step 3: Cross multiply
    3,210.34x = 4,430.22 × 2,265.14
  4. Step 4: Simplify right side
    3,210.34x = 10,035,068.53
  5. Step 5: Solve for x
    x = 10,035,068.53/3,210.34
  6. Step 6: Final answer
    x = 3,125.86

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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.