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Finding the Fourth Proportional to 5,152.04, 7,107 and 3,260.16

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Solution

The fourth proportional to 5,152.04, 7,107 and 3,260.16 is: 4,497.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.04 : 7,107 = 3,260.16 : x
  2. Step 2: Convert to fraction form
    5,152.04/7,107 = 3,260.16/x
  3. Step 3: Cross multiply
    5,152.04x = 7,107 × 3,260.16
  4. Step 4: Simplify right side
    5,152.04x = 23,169,957.12
  5. Step 5: Solve for x
    x = 23,169,957.12/5,152.04
  6. Step 6: Final answer
    x = 4,497.24

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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.