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Finding the Fourth Proportional to 4,068.16, 6,096.16 and 3,655.06

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Solution

The fourth proportional to 4,068.16, 6,096.16 and 3,655.06 is: 5,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,068.16 : 6,096.16 = 3,655.06 : x
  2. Step 2: Convert to fraction form
    4,068.16/6,096.16 = 3,655.06/x
  3. Step 3: Cross multiply
    4,068.16x = 6,096.16 × 3,655.06
  4. Step 4: Simplify right side
    4,068.16x = 22,281,830.57
  5. Step 5: Solve for x
    x = 22,281,830.57/4,068.16
  6. Step 6: Final answer
    x = 5,477.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.