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Finding the Fourth Proportional to 5,588.09, 7,715.17 and 3,465.87

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Solution

The fourth proportional to 5,588.09, 7,715.17 and 3,465.87 is: 4,785.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.09 : 7,715.17 = 3,465.87 : x
  2. Step 2: Convert to fraction form
    5,588.09/7,715.17 = 3,465.87/x
  3. Step 3: Cross multiply
    5,588.09x = 7,715.17 × 3,465.87
  4. Step 4: Simplify right side
    5,588.09x = 26,739,776.25
  5. Step 5: Solve for x
    x = 26,739,776.25/5,588.09
  6. Step 6: Final answer
    x = 4,785.14

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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.