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Finding the Fourth Proportional to 5,294.16, 7,905.60 and 4,322.16

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Solution

The fourth proportional to 5,294.16, 7,905.60 and 4,322.16 is: 6,454.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.16 : 7,905.60 = 4,322.16 : x
  2. Step 2: Convert to fraction form
    5,294.16/7,905.60 = 4,322.16/x
  3. Step 3: Cross multiply
    5,294.16x = 7,905.60 × 4,322.16
  4. Step 4: Simplify right side
    5,294.16x = 34,169,268.10
  5. Step 5: Solve for x
    x = 34,169,268.10/5,294.16
  6. Step 6: Final answer
    x = 6,454.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.