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Finding the Fourth Proportional to 3,666.94, 5,497.04 and 1,585.64

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Solution

The fourth proportional to 3,666.94, 5,497.04 and 1,585.64 is: 2,377.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.94 : 5,497.04 = 1,585.64 : x
  2. Step 2: Convert to fraction form
    3,666.94/5,497.04 = 1,585.64/x
  3. Step 3: Cross multiply
    3,666.94x = 5,497.04 × 1,585.64
  4. Step 4: Simplify right side
    3,666.94x = 8,716,326.51
  5. Step 5: Solve for x
    x = 8,716,326.51/3,666.94
  6. Step 6: Final answer
    x = 2,377.00

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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.