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Finding the Fourth Proportional to 5,069.91, 7,606.08 and 1,607.16

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Solution

The fourth proportional to 5,069.91, 7,606.08 and 1,607.16 is: 2,411.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,069.91 : 7,606.08 = 1,607.16 : x
  2. Step 2: Convert to fraction form
    5,069.91/7,606.08 = 1,607.16/x
  3. Step 3: Cross multiply
    5,069.91x = 7,606.08 × 1,607.16
  4. Step 4: Simplify right side
    5,069.91x = 12,224,187.53
  5. Step 5: Solve for x
    x = 12,224,187.53/5,069.91
  6. Step 6: Final answer
    x = 2,411.13

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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.