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Finding the Fourth Proportional to 5,664.16, 7,808.70 and 4,716.46

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Solution

The fourth proportional to 5,664.16, 7,808.70 and 4,716.46 is: 6,502.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.16 : 7,808.70 = 4,716.46 : x
  2. Step 2: Convert to fraction form
    5,664.16/7,808.70 = 4,716.46/x
  3. Step 3: Cross multiply
    5,664.16x = 7,808.70 × 4,716.46
  4. Step 4: Simplify right side
    5,664.16x = 36,829,421.20
  5. Step 5: Solve for x
    x = 36,829,421.20/5,664.16
  6. Step 6: Final answer
    x = 6,502.19

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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.