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Finding the Fourth Proportional to 4,842.64, 7,264.58 and 2,377.52

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Solution

The fourth proportional to 4,842.64, 7,264.58 and 2,377.52 is: 3,566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.64 : 7,264.58 = 2,377.52 : x
  2. Step 2: Convert to fraction form
    4,842.64/7,264.58 = 2,377.52/x
  3. Step 3: Cross multiply
    4,842.64x = 7,264.58 × 2,377.52
  4. Step 4: Simplify right side
    4,842.64x = 17,271,684.24
  5. Step 5: Solve for x
    x = 17,271,684.24/4,842.64
  6. Step 6: Final answer
    x = 3,566.58

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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.