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Finding the Fourth Proportional to 7,569.64, 10,444.90 and 4,257

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Solution

The fourth proportional to 7,569.64, 10,444.90 and 4,257 is: 5,873.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.64 : 10,444.90 = 4,257 : x
  2. Step 2: Convert to fraction form
    7,569.64/10,444.90 = 4,257/x
  3. Step 3: Cross multiply
    7,569.64x = 10,444.90 × 4,257
  4. Step 4: Simplify right side
    7,569.64x = 44,463,939.30
  5. Step 5: Solve for x
    x = 44,463,939.30/7,569.64
  6. Step 6: Final answer
    x = 5,873.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.