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Finding the Fourth Proportional to 3,925.32, 5,888.04 and 1,460.16

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Solution

The fourth proportional to 3,925.32, 5,888.04 and 1,460.16 is: 2,190.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,925.32 : 5,888.04 = 1,460.16 : x
  2. Step 2: Convert to fraction form
    3,925.32/5,888.04 = 1,460.16/x
  3. Step 3: Cross multiply
    3,925.32x = 5,888.04 × 1,460.16
  4. Step 4: Simplify right side
    3,925.32x = 8,597,480.49
  5. Step 5: Solve for x
    x = 8,597,480.49/3,925.32
  6. Step 6: Final answer
    x = 2,190.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.