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Finding the Fourth Proportional to 5,445.68, 8,165.64 and 2,366

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Solution

The fourth proportional to 5,445.68, 8,165.64 and 2,366 is: 3,547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,445.68 : 8,165.64 = 2,366 : x
  2. Step 2: Convert to fraction form
    5,445.68/8,165.64 = 2,366/x
  3. Step 3: Cross multiply
    5,445.68x = 8,165.64 × 2,366
  4. Step 4: Simplify right side
    5,445.68x = 19,319,904.24
  5. Step 5: Solve for x
    x = 19,319,904.24/5,445.68
  6. Step 6: Final answer
    x = 3,547.75

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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.