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Finding the Fourth Proportional to 6,152.64, 8,490.68 and 3,358.16

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Solution

The fourth proportional to 6,152.64, 8,490.68 and 3,358.16 is: 4,634.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.64 : 8,490.68 = 3,358.16 : x
  2. Step 2: Convert to fraction form
    6,152.64/8,490.68 = 3,358.16/x
  3. Step 3: Cross multiply
    6,152.64x = 8,490.68 × 3,358.16
  4. Step 4: Simplify right side
    6,152.64x = 28,513,061.95
  5. Step 5: Solve for x
    x = 28,513,061.95/6,152.64
  6. Step 6: Final answer
    x = 4,634.28

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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.