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Finding the Fourth Proportional to 7,592.64, 10,477.28 and 4,280

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Solution

The fourth proportional to 7,592.64, 10,477.28 and 4,280 is: 5,906.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,592.64 : 10,477.28 = 4,280 : x
  2. Step 2: Convert to fraction form
    7,592.64/10,477.28 = 4,280/x
  3. Step 3: Cross multiply
    7,592.64x = 10,477.28 × 4,280
  4. Step 4: Simplify right side
    7,592.64x = 44,842,758.40
  5. Step 5: Solve for x
    x = 44,842,758.40/7,592.64
  6. Step 6: Final answer
    x = 5,906.08

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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.