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Finding the Fourth Proportional to 5,666.12, 8,461 and 4,628.18

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Solution

The fourth proportional to 5,666.12, 8,461 and 4,628.18 is: 6,911.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.12 : 8,461 = 4,628.18 : x
  2. Step 2: Convert to fraction form
    5,666.12/8,461 = 4,628.18/x
  3. Step 3: Cross multiply
    5,666.12x = 8,461 × 4,628.18
  4. Step 4: Simplify right side
    5,666.12x = 39,158,988.68
  5. Step 5: Solve for x
    x = 39,158,988.68/5,666.12
  6. Step 6: Final answer
    x = 6,911.08

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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.