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Finding the Fourth Proportional to 5,606.89, 7,737.20 and 3,088.53

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Solution

The fourth proportional to 5,606.89, 7,737.20 and 3,088.53 is: 4,262.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.89 : 7,737.20 = 3,088.53 : x
  2. Step 2: Convert to fraction form
    5,606.89/7,737.20 = 3,088.53/x
  3. Step 3: Cross multiply
    5,606.89x = 7,737.20 × 3,088.53
  4. Step 4: Simplify right side
    5,606.89x = 23,896,574.32
  5. Step 5: Solve for x
    x = 23,896,574.32/5,606.89
  6. Step 6: Final answer
    x = 4,262.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.