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Finding the Fourth Proportional to 3,776.55, 5,666.68 and 1,698.02

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Solution

The fourth proportional to 3,776.55, 5,666.68 and 1,698.02 is: 2,547.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.55 : 5,666.68 = 1,698.02 : x
  2. Step 2: Convert to fraction form
    3,776.55/5,666.68 = 1,698.02/x
  3. Step 3: Cross multiply
    3,776.55x = 5,666.68 × 1,698.02
  4. Step 4: Simplify right side
    3,776.55x = 9,622,127.48
  5. Step 5: Solve for x
    x = 9,622,127.48/3,776.55
  6. Step 6: Final answer
    x = 2,547.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.