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Finding the Fourth Proportional to 3,210.02, 4,430 and 2,266.11

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Solution

The fourth proportional to 3,210.02, 4,430 and 2,266.11 is: 3,127.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.02 : 4,430 = 2,266.11 : x
  2. Step 2: Convert to fraction form
    3,210.02/4,430 = 2,266.11/x
  3. Step 3: Cross multiply
    3,210.02x = 4,430 × 2,266.11
  4. Step 4: Simplify right side
    3,210.02x = 10,038,867.30
  5. Step 5: Solve for x
    x = 10,038,867.30/3,210.02
  6. Step 6: Final answer
    x = 3,127.35

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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.